x^2+24x+144=81+144

Solution for x^2+24x+144=81+144 equation:

Simplifying
x2 + 24x + 144 = 81 + 144

Reorder the terms:
144 + 24x + x2 = 81 + 144

Combine like terms: 81 + 144 = 225
144 + 24x + x2 = 225

Solving
144 + 24x + x2 = 225

Solving for variable 'x'.

Reorder the terms:
144 + -225 + 24x + x2 = 225 + -225

Combine like terms: 144 + -225 = -81
-81 + 24x + x2 = 225 + -225

Combine like terms: 225 + -225 = 0
-81 + 24x + x2 = 0

Factor a trinomial.
(-27 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-27 + -1x)' equal to zero and attempt to solve:

Simplifying
-27 + -1x = 0

Solving
-27 + -1x = 0

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

Add '27' to each side of the equation.
-27 + 27 + -1x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1x = 0 + 27
-1x = 0 + 27

Combine like terms: 0 + 27 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-27, 3}