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