X+5=9x^2+X+1 please help me

Simplifying

x + 5 = 9x2 + x + 1

Reorder the terms:

5 + x = 9x2 + x + 1

Reorder the terms:

5 + x = 1 + x + 9x2

Add '-1x' to each side of the equation.

5 + x + -1x = 1 + x + -1x + 9x2

Combine like terms: x + -1x = 0

5 + 0 = 1 + x + -1x + 9x2

5 = 1 + x + -1x + 9x2

Combine like terms: x + -1x = 0

5 = 1 + 0 + 9x2

5 = 1 + 9x2

Solving

5 = 1 + 9x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x2' to each side of the equation.

5 + -9x2 = 1 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0

5 + -9x2 = 1 + 0

5 + -9x2 = 1

Add '-5' to each side of the equation.

5 + -5 + -9x2 = 1 + -5

Combine like terms: 5 + -5 = 0

0 + -9x2 = 1 + -5

-9x2 = 1 + -5

Combine like terms: 1 + -5 = -4

-9x2 = -4

Divide each side by '-9'.

x2 = 0.4444444444

Simplifying

x2 = 0.4444444444

Take the square root of each side:

x = {-0.666666667, 0.666666667}

Step-by-step explanation:

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

8

step-by-step explanation: