(x+6)(x-1)=8

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Solution for (x+6)(x-1)=8 equation: 


Simplifying
(x + 6)(x + -1) = 8

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

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

Multiply (6 + x) * (-1 + x)
(6(-1 + x) + x(-1 + x)) = 8
((-1 * 6 + x * 6) + x(-1 + x)) = 8
((-6 + 6x) + x(-1 + x)) = 8
(-6 + 6x + (-1 * x + x * x)) = 8
(-6 + 6x + (-1x + x2)) = 8

Combine like terms: 6x + -1x = 5x
(-6 + 5x + x2) = 8

Solving
-6 + 5x + x2 = 8

Solving for variable 'x'.

Reorder the terms:
-6 + -8 + 5x + x2 = 8 + -8

Combine like terms: -6 + -8 = -14
-14 + 5x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-14 + 5x + x2 = 0

Factor a trinomial.
(-7 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-7, 2}

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