(2x-15)(3x)=0

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Solution for (2x-15)(3x)=0 equation:


Simplifying
(2x + -15)(3x) = 0

Reorder the terms:
(-15 + 2x)(3x) = 0

Remove parenthesis around (3x)
(-15 + 2x) * 3x = 0

Reorder the terms for easier multiplication:
3x(-15 + 2x) = 0
(-15 * 3x + 2x * 3x) = 0
(-45x + 6x2) = 0

Solving
-45x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-15 + 2x) = 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 '(-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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