3x(x+10)=6x

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Solution for 3x(x+10)=6x equation: 


Simplifying
3x(x + 10) = 6x

Reorder the terms:
3x(10 + x) = 6x
(10 * 3x + x * 3x) = 6x
(30x + 3x2) = 6x

Solving
30x + 3x2 = 6x

Solving for variable 'x'.

Reorder the terms:
30x + -6x + 3x2 = 6x + -6x

Combine like terms: 30x + -6x = 24x
24x + 3x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(8 + x) = 0

Ignore the factor 3.

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 '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {0, -8}

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