(x+9)(x+9)=144

Solution for (x+9)(x+9)=144 equation:

Simplifying
(x + 9)(x + 9) = 144

Reorder the terms:
(9 + x)(x + 9) = 144

Reorder the terms:
(9 + x)(9 + x) = 144

Multiply (9 + x) * (9 + x)
(9(9 + x) + x(9 + x)) = 144
((9 * 9 + x * 9) + x(9 + x)) = 144
((81 + 9x) + x(9 + x)) = 144
(81 + 9x + (9 * x + x * x)) = 144
(81 + 9x + (9x + x2)) = 144

Combine like terms: 9x + 9x = 18x
(81 + 18x + x2) = 144

Solving
81 + 18x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
81 + -144 + 18x + x2 = 144 + -144

Combine like terms: 81 + -144 = -63
-63 + 18x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-63 + 18x + x2 = 0

Factor a trinomial.
(-21 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve:

Simplifying
-21 + -1x = 0

Solving
-21 + -1x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 0 + 21
-1x = 0 + 21

Combine like terms: 0 + 21 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21
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 = {-21, 3}