(x+5)(x+5)-10=134

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Solution for (x+5)(x+5)-10=134 equation: 


Simplifying
(x + 5)(x + 5) + -10 = 134

Reorder the terms:
(5 + x)(x + 5) + -10 = 134

Reorder the terms:
(5 + x)(5 + x) + -10 = 134

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) + -10 = 134
((5 * 5 + x * 5) + x(5 + x)) + -10 = 134
((25 + 5x) + x(5 + x)) + -10 = 134
(25 + 5x + (5 * x + x * x)) + -10 = 134
(25 + 5x + (5x + x2)) + -10 = 134

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) + -10 = 134

Reorder the terms:
25 + -10 + 10x + x2 = 134

Combine like terms: 25 + -10 = 15
15 + 10x + x2 = 134

Solving
15 + 10x + x2 = 134

Solving for variable 'x'.

Reorder the terms:
15 + -134 + 10x + x2 = 134 + -134

Combine like terms: 15 + -134 = -119
-119 + 10x + x2 = 134 + -134

Combine like terms: 134 + -134 = 0
-119 + 10x + x2 = 0

Factor a trinomial.
(-17 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve:

Simplifying
-17 + -1x = 0

Solving
-17 + -1x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1x = 0 + 17
-1x = 0 + 17

Combine like terms: 0 + 17 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-17, 7}

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