(x+10)(x+10)=9

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Solution for (x+10)(x+10)=9 equation: 


Simplifying
(x + 10)(x + 10) = 9

Reorder the terms:
(10 + x)(x + 10) = 9

Reorder the terms:
(10 + x)(10 + x) = 9

Multiply (10 + x) * (10 + x)
(10(10 + x) + x(10 + x)) = 9
((10 * 10 + x * 10) + x(10 + x)) = 9
((100 + 10x) + x(10 + x)) = 9
(100 + 10x + (10 * x + x * x)) = 9
(100 + 10x + (10x + x2)) = 9

Combine like terms: 10x + 10x = 20x
(100 + 20x + x2) = 9

Solving
100 + 20x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
100 + -9 + 20x + x2 = 9 + -9

Combine like terms: 100 + -9 = 91
91 + 20x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
91 + 20x + x2 = 0

Factor a trinomial.
(13 + x)(7 + 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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

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

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

Simplifying
x = -7
Solution
x = {-13, -7}

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