Mathematics, 02.02.2020 18:47 QueenMiah16

(2m+3)(4m+3)=0
math & me don't get along

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The equation is set equal to 0 and the parenthesis are joined together by multiplication.
So, set each one of the mini-expressions inside the parenthesis to 0.
We do this because anything multiplied by 0 equals 0.

2m+3=0
2m=-3
m=-3/2

4m+3=0
4m=-3
m=-3/4

So, the answers are -3/2 and -3/4.

Hope his helps!

Answer from: bullockarwen

I'm assuming you're looking for the distributed form of the equation :)

An easy acronym for multiplying binomials is FOIL, short for First, Out(er/side), In(ner/side), and Last.

First;
Multiply the first two numbers of the binomials:
(2m + 3)(4m + 3) = 0
2m * 4m = 8m²

Out;
Multiply the two outer monomials:
(2m + 3)(4m + 3) = 0
2m * 3 = 6m

In;
Multiply the two inner monomials:
(2m + 3)(4m + 3) = 0
3 * 4m = 12m

Last;
Multiply the last two monomials:
(2m + 3)(4m + 3) = 0
3 * 3 = 9

Add all the answers up, set equal to 0, then simplify:
$8m^{2}+6m+12m+9=0\\8m^{2}+18m+9\\\\ Thus,\ your\ answer\ is:\\ 8m^{2}+18m+9=0$

As an after-note, I realised I should probably also show how to solve for the values of m ,:D

Starting with the original binomials, set each equal to 0 and solve for m:

$(2m+3)(4m+3)=0\\\\2m+3=0\\2m=-3\\m=\frac{-3}{2}\\\\4m+3=0\\4m=-3\\m=\frac{-3}{4}$

Thus, m = -3/2 and m = -3/4.

Answer from: Quest

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

Answer from: Quest

answer is 12345678900987654321234567890987654321

step-by-step explanation:

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(2m+3)(4m+3)=0
math & me don't get along...

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