(x+7)(x+7)=36

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Solution for (x+7)(x+7)=36 equation: 


Simplifying
(x + 7)(x + 7) = 36

Reorder the terms:
(7 + x)(x + 7) = 36

Reorder the terms:
(7 + x)(7 + x) = 36

Multiply (7 + x) * (7 + x)
(7(7 + x) + x(7 + x)) = 36
((7 * 7 + x * 7) + x(7 + x)) = 36
((49 + 7x) + x(7 + x)) = 36
(49 + 7x + (7 * x + x * x)) = 36
(49 + 7x + (7x + x2)) = 36

Combine like terms: 7x + 7x = 14x
(49 + 14x + x2) = 36

Solving
49 + 14x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
49 + -36 + 14x + x2 = 36 + -36

Combine like terms: 49 + -36 = 13
13 + 14x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
13 + 14x + x2 = 0

Factor a trinomial.
(13 + x)(1 + 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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {-13, -1}

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