x^2+24x+144=1

Solution for x^2+24x+144=1 equation:

Simplifying
x2 + 24x + 144 = 1

Reorder the terms:
144 + 24x + x2 = 1

Solving
144 + 24x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
144 + -1 + 24x + x2 = 1 + -1

Combine like terms: 144 + -1 = 143
143 + 24x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
143 + 24x + x2 = 0

Factor a trinomial.
(13 + x)(11 + x) = 0

Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {-13, -11}