3x(x-10)=2x

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Solution for 3x(x-10)=2x equation: 


Simplifying
3x(x + -10) = 2x

Reorder the terms:
3x(-10 + x) = 2x
(-10 * 3x + x * 3x) = 2x
(-30x + 3x2) = 2x

Solving
-30x + 3x2 = 2x

Solving for variable 'x'.

Reorder the terms:
-30x + -2x + 3x2 = 2x + -2x

Combine like terms: -30x + -2x = -32x
-32x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-32x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32 + 3x) = 0


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 '(-32 + 3x)' equal to zero and attempt to solve:

Simplifying
-32 + 3x = 0

Solving
-32 + 3x = 0

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

Add '32' to each side of the equation.
-32 + 32 + 3x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 3x = 0 + 32
3x = 0 + 32

Combine like terms: 0 + 32 = 32
3x = 32

Divide each side by '3'.
x = 10.66666667

Simplifying
x = 10.66666667
Solution
x = {0, 10.66666667}

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