-2x(5x-8)=6x

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Solution for -2x(5x-8)=6x equation: 


Simplifying
-2x(5x + -8) = 6x

Reorder the terms:
-2x(-8 + 5x) = 6x
(-8 * -2x + 5x * -2x) = 6x
(16x + -10x2) = 6x

Solving
16x + -10x2 = 6x

Solving for variable 'x'.

Reorder the terms:
16x + -6x + -10x2 = 6x + -6x

Combine like terms: 16x + -6x = 10x
10x + -10x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
10x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(1 + -1x) = 0

Ignore the factor 10.

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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