128=(x+7)(x-1)

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Solution for 128=(x+7)(x-1) equation: 


Simplifying
128 = (x + 7)(x + -1)

Reorder the terms:
128 = (7 + x)(x + -1)

Reorder the terms:
128 = (7 + x)(-1 + x)

Multiply (7 + x) * (-1 + x)
128 = (7(-1 + x) + x(-1 + x))
128 = ((-1 * 7 + x * 7) + x(-1 + x))
128 = ((-7 + 7x) + x(-1 + x))
128 = (-7 + 7x + (-1 * x + x * x))
128 = (-7 + 7x + (-1x + x2))

Combine like terms: 7x + -1x = 6x
128 = (-7 + 6x + x2)

Solving
128 = -7 + 6x + x2

Solving for variable 'x'.

Combine like terms: 128 + 7 = 135
135 + -6x + -1x2 = -7 + 6x + x2 + 7 + -6x + -1x2

Reorder the terms:
135 + -6x + -1x2 = -7 + 7 + 6x + -6x + x2 + -1x2

Combine like terms: -7 + 7 = 0
135 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
135 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
135 + -6x + -1x2 = 0 + x2 + -1x2
135 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
135 + -6x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(15 + x) = 0


Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9

Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
Solution
x = {9, -15}

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