(8x-10x)(x-1)=0

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Solution for (8x-10x)(x-1)=0 equation: 


Simplifying
(8x + -10x)(x + -1) = 0

Combine like terms: 8x + -10x = -2x
(-2x)(x + -1) = 0

Remove parenthesis around (-2x)
-2x(x + -1) = 0

Reorder the terms:
-2x(-1 + x) = 0
(-1 * -2x + x * -2x) = 0
(2x + -2x2) = 0

Solving
2x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(1 + -1x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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, 1}

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