2x(x-6)=3x

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Solution for 2x(x-6)=3x equation: 


Simplifying
2x(x + -6) = 3x

Reorder the terms:
2x(-6 + x) = 3x
(-6 * 2x + x * 2x) = 3x
(-12x + 2x2) = 3x

Solving
-12x + 2x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-12x + -3x + 2x2 = 3x + -3x

Combine like terms: -12x + -3x = -15x
-15x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-15x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + 2x) = 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 '(-15 + 2x)' equal to zero and attempt to solve:

Simplifying
-15 + 2x = 0

Solving
-15 + 2x = 0

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

Add '15' to each side of the equation.
-15 + 15 + 2x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 0 + 15
2x = 0 + 15

Combine like terms: 0 + 15 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5
Solution
x = {0, 7.5}

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