(x+4)(x+4)-3=13

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Solution for (x+4)(x+4)-3=13 equation: 


Simplifying
(x + 4)(x + 4) + -3 = 13

Reorder the terms:
(4 + x)(x + 4) + -3 = 13

Reorder the terms:
(4 + x)(4 + x) + -3 = 13

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) + -3 = 13
((4 * 4 + x * 4) + x(4 + x)) + -3 = 13
((16 + 4x) + x(4 + x)) + -3 = 13
(16 + 4x + (4 * x + x * x)) + -3 = 13
(16 + 4x + (4x + x2)) + -3 = 13

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) + -3 = 13

Reorder the terms:
16 + -3 + 8x + x2 = 13

Combine like terms: 16 + -3 = 13
13 + 8x + x2 = 13

Add '-13' to each side of the equation.
13 + 8x + -13 + x2 = 13 + -13

Reorder the terms:
13 + -13 + 8x + x2 = 13 + -13

Combine like terms: 13 + -13 = 0
0 + 8x + x2 = 13 + -13
8x + x2 = 13 + -13

Combine like terms: 13 + -13 = 0
8x + x2 = 0

Solving
8x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {0, -8}

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