6x(x-8)-10x=

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Solution for 6x(x-8)-10x= equation: 


Simplifying
6x(x + -8) + -10x = 0

Reorder the terms:
6x(-8 + x) + -10x = 0
(-8 * 6x + x * 6x) + -10x = 0
(-48x + 6x2) + -10x = 0

Reorder the terms:
-48x + -10x + 6x2 = 0

Combine like terms: -48x + -10x = -58x
-58x + 6x2 = 0

Solving
-58x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-29 + 3x) = 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 '(-29 + 3x)' equal to zero and attempt to solve:

Simplifying
-29 + 3x = 0

Solving
-29 + 3x = 0

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

Add '29' to each side of the equation.
-29 + 29 + 3x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 3x = 0 + 29
3x = 0 + 29

Combine like terms: 0 + 29 = 29
3x = 29

Divide each side by '3'.
x = 9.666666667

Simplifying
x = 9.666666667
Solution
x = {0, 9.666666667}

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