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

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


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

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

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

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

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

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

Solving
16 + 8x + x2 = 8 + -1x

Solving for variable 'x'.

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

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

Combine like terms: 8x + x = 9x
8 + 9x + x2 = 8 + -1x + -8 + x

Reorder the terms:
8 + 9x + x2 = 8 + -8 + -1x + x

Combine like terms: 8 + -8 = 0
8 + 9x + x2 = 0 + -1x + x
8 + 9x + x2 = -1x + x

Combine like terms: -1x + x = 0
8 + 9x + x2 = 0

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


Subproblem 1
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

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 = {-8, -1}

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