x^2+24x+144=169

Solution for x^2+24x+144=169 equation:

Simplifying
x2 + 24x + 144 = 169

Reorder the terms:
144 + 24x + x2 = 169

Solving
144 + 24x + x2 = 169

Solving for variable 'x'.

Reorder the terms:
144 + -169 + 24x + x2 = 169 + -169

Combine like terms: 144 + -169 = -25
-25 + 24x + x2 = 169 + -169

Combine like terms: 169 + -169 = 0
-25 + 24x + x2 = 0

Factor a trinomial.
(-25 + -1x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve:

Simplifying
-25 + -1x = 0

Solving
-25 + -1x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = 0 + 25
-1x = 0 + 25

Combine like terms: 0 + 25 = 25
-1x = 25

Divide each side by '-1'.
x = -25

Simplifying
x = -25
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-25, 1}