-6x+8x(x-1)=

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Solution for -6x+8x(x-1)= equation: 


Simplifying
-6x + 8x(x + -1) = 0

Reorder the terms:
-6x + 8x(-1 + x) = 0
-6x + (-1 * 8x + x * 8x) = 0
-6x + (-8x + 8x2) = 0

Combine like terms: -6x + -8x = -14x
-14x + 8x2 = 0

Solving
-14x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-7 + 4x) = 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 '(-7 + 4x)' equal to zero and attempt to solve:

Simplifying
-7 + 4x = 0

Solving
-7 + 4x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 0 + 7
4x = 0 + 7

Combine like terms: 0 + 7 = 7
4x = 7

Divide each side by '4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {0, 1.75}

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