(8x+7)(x+1)=9

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Solution for (8x+7)(x+1)=9 equation: 


Simplifying
(8x + 7)(x + 1) = 9

Reorder the terms:
(7 + 8x)(x + 1) = 9

Reorder the terms:
(7 + 8x)(1 + x) = 9

Multiply (7 + 8x) * (1 + x)
(7(1 + x) + 8x * (1 + x)) = 9
((1 * 7 + x * 7) + 8x * (1 + x)) = 9
((7 + 7x) + 8x * (1 + x)) = 9
(7 + 7x + (1 * 8x + x * 8x)) = 9
(7 + 7x + (8x + 8x2)) = 9

Combine like terms: 7x + 8x = 15x
(7 + 15x + 8x2) = 9

Solving
7 + 15x + 8x2 = 9

Solving for variable 'x'.

Reorder the terms:
7 + -9 + 15x + 8x2 = 9 + -9

Combine like terms: 7 + -9 = -2
-2 + 15x + 8x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-2 + 15x + 8x2 = 0

Factor a trinomial.
(-2 + -1x)(1 + -8x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

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

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

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {-2, 0.125}

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