(x+4)(x+4)-1=8

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Solution for (x+4)(x+4)-1=8 equation: 


Simplifying
(x + 4)(x + 4) + -1 = 8

Reorder the terms:
(4 + x)(x + 4) + -1 = 8

Reorder the terms:
(4 + x)(4 + x) + -1 = 8

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) + -1 = 8
((4 * 4 + x * 4) + x(4 + x)) + -1 = 8
((16 + 4x) + x(4 + x)) + -1 = 8
(16 + 4x + (4 * x + x * x)) + -1 = 8
(16 + 4x + (4x + x2)) + -1 = 8

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) + -1 = 8

Reorder the terms:
16 + -1 + 8x + x2 = 8

Combine like terms: 16 + -1 = 15
15 + 8x + x2 = 8

Solving
15 + 8x + x2 = 8

Solving for variable 'x'.

Reorder the terms:
15 + -8 + 8x + x2 = 8 + -8

Combine like terms: 15 + -8 = 7
7 + 8x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
7 + 8x + x2 = 0

Factor a trinomial.
(7 + x)(1 + x) = 0


Subproblem 1
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

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 = {-7, -1}

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