6x(x-7)-10x=

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Solution for 6x(x-7)-10x= equation: 


Simplifying
6x(x + -7) + -10x = 0

Reorder the terms:
6x(-7 + x) + -10x = 0
(-7 * 6x + x * 6x) + -10x = 0
(-42x + 6x2) + -10x = 0

Reorder the terms:
-42x + -10x + 6x2 = 0

Combine like terms: -42x + -10x = -52x
-52x + 6x2 = 0

Solving
-52x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-26 + 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 '(-26 + 3x)' equal to zero and attempt to solve:

Simplifying
-26 + 3x = 0

Solving
-26 + 3x = 0

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

Add '26' to each side of the equation.
-26 + 26 + 3x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 3x = 0 + 26
3x = 0 + 26

Combine like terms: 0 + 26 = 26
3x = 26

Divide each side by '3'.
x = 8.666666667

Simplifying
x = 8.666666667
Solution
x = {0, 8.666666667}

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