Hello there! if you can me solve this equation step by step, that would be very . for stopping by!

We want to convert this equation in terms of m, where

While solving this problem, I instantly noticed the in the first term of the equation. Replace that with m.

Simplifying the rest is not as obvious. Using the distributive property, we can change to

Do you see the "m" in here? Look again if you don't.

Now we can simplify the equation to and this cannot be simplified further.

I'm always happy to help someone who appreciates the help! :D

m^2 +7(m) = -10

m^2 + 7m +10=0

(m+5) (m+2) =0

Are all acceptable versions of the equation

Step-by-step explanation:

(x^2 +3) ^2 + 7x^2 +21 = -10

(x^2 +3)^2 + 7( x^2+3) = -10

Replace x^2 +3 with m

m^2 +7(m) = -10

Add 10 to each side

m^2 + 7m +10=-10+10

m^2 + 7m +10=0

Factor

(m+5) (m+2) =0

Using the zero product property

m=-5  m=-2

Replace m with x^2 +3

x^2+3 = -5     x^2 +3 =-2

Subtract 3 from each side

x^2+3-3 = -5-3     x^2 +3-3 =-2-3

x^2 = -8                   x^2 = -5

x = ±2isqrt(2)             x = ±i sqrt(5)

x=half

step-by-step explanation: