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Simplifying (3x)(5x + -48) = 0 Remove parenthesis around (3x) 3x(5x + -48) = 0 Reorder the terms: 3x(-48 + 5x) = 0 (-48 * 3x + 5x * 3x) = 0 (-144x + 15x2) = 0 Solving -144x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-48 + 5x) = 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 '(-48 + 5x)' equal to zero and attempt to solve: Simplifying -48 + 5x = 0 Solving -48 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 5x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = 0 + 48 5x = 0 + 48 Combine like terms: 0 + 48 = 48 5x = 48 Divide each side by '5'. x = 9.6 Simplifying x = 9.6Solution
x = {0, 9.6}
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