-5x(2x-3)=-15x

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Solution for -5x(2x-3)=-15x equation: 


Simplifying
-5x(2x + -3) = -15x

Reorder the terms:
-5x(-3 + 2x) = -15x
(-3 * -5x + 2x * -5x) = -15x
(15x + -10x2) = -15x

Solving
15x + -10x2 = -15x

Solving for variable 'x'.

Reorder the terms:
15x + 15x + -10x2 = -15x + 15x

Combine like terms: 15x + 15x = 30x
30x + -10x2 = -15x + 15x

Combine like terms: -15x + 15x = 0
30x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(3 + -1x) = 0

Ignore the factor 10.

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 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

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

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