0=(-8x-1)(x-1)

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Solution for 0=(-8x-1)(x-1) equation: 


Simplifying
0 = (-8x + -1)(x + -1)

Reorder the terms:
0 = (-1 + -8x)(x + -1)

Reorder the terms:
0 = (-1 + -8x)(-1 + x)

Multiply (-1 + -8x) * (-1 + x)
0 = (-1(-1 + x) + -8x * (-1 + x))
0 = ((-1 * -1 + x * -1) + -8x * (-1 + x))
0 = ((1 + -1x) + -8x * (-1 + x))
0 = (1 + -1x + (-1 * -8x + x * -8x))
0 = (1 + -1x + (8x + -8x2))

Combine like terms: -1x + 8x = 7x
0 = (1 + 7x + -8x2)

Solving
0 = 1 + 7x + -8x2

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + -7x + 8x2 = 1 + 7x + -8x2 + -1 + -7x + 8x2

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

Combine like terms: 1 + -1 = 0
-1 + -7x + 8x2 = 0 + 7x + -7x + -8x2 + 8x2
-1 + -7x + 8x2 = 7x + -7x + -8x2 + 8x2

Combine like terms: 7x + -7x = 0
-1 + -7x + 8x2 = 0 + -8x2 + 8x2
-1 + -7x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
-1 + -7x + 8x2 = 0

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


Subproblem 1
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

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 = {-0.125, 1}

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