(x-2)(x-2)(1)=169

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Solution for (x-2)(x-2)(1)=169 equation: 


Simplifying
(x + -2)(x + -2)(1) = 169

Reorder the terms:
(-2 + x)(x + -2)(1) = 169

Reorder the terms:
(-2 + x)(-2 + x)(1) = 169

Reorder the terms for easier multiplication:
1(-2 + x)(-2 + x) = 169

Multiply (-2 + x) * (-2 + x)
1(-2(-2 + x) + x(-2 + x)) = 169
1((-2 * -2 + x * -2) + x(-2 + x)) = 169
1((4 + -2x) + x(-2 + x)) = 169
1(4 + -2x + (-2 * x + x * x)) = 169
1(4 + -2x + (-2x + x2)) = 169

Combine like terms: -2x + -2x = -4x
1(4 + -4x + x2) = 169
(4 * 1 + -4x * 1 + x2 * 1) = 169
(4 + -4x + 1x2) = 169

Solving
4 + -4x + 1x2 = 169

Solving for variable 'x'.

Reorder the terms:
4 + -169 + -4x + 1x2 = 169 + -169

Combine like terms: 4 + -169 = -165
-165 + -4x + 1x2 = 169 + -169

Combine like terms: 169 + -169 = 0
-165 + -4x + 1x2 = 0

Factor a trinomial.
(-11 + -1x)(15 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 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 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-11, 15}

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