3x(x-3)=5x*2-10x

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Solution for 3x(x-3)=5x*2-10x equation: 


Simplifying
3x(x + -3) = 5x * 2 + -10x

Reorder the terms:
3x(-3 + x) = 5x * 2 + -10x
(-3 * 3x + x * 3x) = 5x * 2 + -10x
(-9x + 3x2) = 5x * 2 + -10x

Reorder the terms for easier multiplication:
-9x + 3x2 = 5 * 2x + -10x

Multiply 5 * 2
-9x + 3x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-9x + 3x2 = 0

Solving
-9x + 3x2 = 0

Solving for variable 'x'.

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

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

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

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

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

Simplifying
x = 3
Solution
x = {0, 3}

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