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

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


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

Reorder the terms:
x(8 + x) + -9 = 7(x + -1)
(8 * x + x * x) + -9 = 7(x + -1)
(8x + x2) + -9 = 7(x + -1)

Reorder the terms:
-9 + 8x + x2 = 7(x + -1)

Reorder the terms:
-9 + 8x + x2 = 7(-1 + x)
-9 + 8x + x2 = (-1 * 7 + x * 7)
-9 + 8x + x2 = (-7 + 7x)

Solving
-9 + 8x + x2 = -7 + 7x

Solving for variable 'x'.

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

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

Combine like terms: 8x + -7x = 1x
-2 + 1x + x2 = -7 + 7x + 7 + -7x

Reorder the terms:
-2 + 1x + x2 = -7 + 7 + 7x + -7x

Combine like terms: -7 + 7 = 0
-2 + 1x + x2 = 0 + 7x + -7x
-2 + 1x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + 1x + x2 = 0

Factor a trinomial.
(-2 + -1x)(1 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-2, 1}

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