x^2+16x+16=24x+36

Solution for x^2+16x+16=24x+36 equation:

Simplifying
x2 + 16x + 16 = 24x + 36

Reorder the terms:
16 + 16x + x2 = 24x + 36

Reorder the terms:
16 + 16x + x2 = 36 + 24x

Solving
16 + 16x + x2 = 36 + 24x

Solving for variable 'x'.

Reorder the terms:
16 + -36 + 16x + -24x + x2 = 36 + 24x + -36 + -24x

Combine like terms: 16 + -36 = -20
-20 + 16x + -24x + x2 = 36 + 24x + -36 + -24x

Combine like terms: 16x + -24x = -8x
-20 + -8x + x2 = 36 + 24x + -36 + -24x

Reorder the terms:
-20 + -8x + x2 = 36 + -36 + 24x + -24x

Combine like terms: 36 + -36 = 0
-20 + -8x + x2 = 0 + 24x + -24x
-20 + -8x + x2 = 24x + -24x

Combine like terms: 24x + -24x = 0
-20 + -8x + x2 = 0

Factor a trinomial.
(-2 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-2, 10}