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

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


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

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

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

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

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

Solving
36 = 49 + 14x + x2

Solving for variable 'x'.

Combine like terms: 36 + -49 = -13
-13 + -14x + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Reorder the terms:
-13 + -14x + -1x2 = 49 + -49 + 14x + -14x + x2 + -1x2

Combine like terms: 49 + -49 = 0
-13 + -14x + -1x2 = 0 + 14x + -14x + x2 + -1x2
-13 + -14x + -1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
-13 + -14x + -1x2 = 0 + x2 + -1x2
-13 + -14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-13 + -14x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(13 + 14x + x2) = 0

Factor a trinomial.
-1((13 + x)(1 + x)) = 0

Ignore the factor -1.

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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