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Simplifying 6(3x2 + -48x) = 0 Reorder the terms: 6(-48x + 3x2) = 0 (-48x * 6 + 3x2 * 6) = 0 (-288x + 18x2) = 0 Solving -288x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18x'. 18x(-16 + x) = 0 Ignore the factor 18.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 '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16Solution
x = {0, 16}
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