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

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Solution for 4(x+7)(x+7)=36 equation: 


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

Reorder the terms:
4(7 + x)(x + 7) = 36

Reorder the terms:
4(7 + x)(7 + x) = 36

Multiply (7 + x) * (7 + x)
4(7(7 + x) + x(7 + x)) = 36
4((7 * 7 + x * 7) + x(7 + x)) = 36
4((49 + 7x) + x(7 + x)) = 36
4(49 + 7x + (7 * x + x * x)) = 36
4(49 + 7x + (7x + x2)) = 36

Combine like terms: 7x + 7x = 14x
4(49 + 14x + x2) = 36
(49 * 4 + 14x * 4 + x2 * 4) = 36
(196 + 56x + 4x2) = 36

Solving
196 + 56x + 4x2 = 36

Solving for variable 'x'.

Reorder the terms:
196 + -36 + 56x + 4x2 = 36 + -36

Combine like terms: 196 + -36 = 160
160 + 56x + 4x2 = 36 + -36

Combine like terms: 36 + -36 = 0
160 + 56x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(40 + 14x + x2) = 0

Factor a trinomial.
4((10 + x)(4 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-10, -4}

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