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Simplifying -24x(x + -27) = 0 Reorder the terms: -24x(-27 + x) = 0 (-27 * -24x + x * -24x) = 0 (648x + -24x2) = 0 Solving 648x + -24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '24x'. 24x(27 + -1x) = 0 Ignore the factor 24.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 '(27 + -1x)' equal to zero and attempt to solve: Simplifying 27 + -1x = 0 Solving 27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 0 + -27 -1x = 0 + -27 Combine like terms: 0 + -27 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27Solution
x = {0, 27}
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