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Simplifying 24x2 = x(12 + x) 24x2 = (12 * x + x * x) 24x2 = (12x + x2) Solving 24x2 = 12x + x2 Solving for variable 'x'. Reorder the terms: -12x + 24x2 + -1x2 = 12x + x2 + -12x + -1x2 Combine like terms: 24x2 + -1x2 = 23x2 -12x + 23x2 = 12x + x2 + -12x + -1x2 Reorder the terms: -12x + 23x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 -12x + 23x2 = 0 + x2 + -1x2 -12x + 23x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12x + 23x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + 23x) = 0Subproblem 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 '(-12 + 23x)' equal to zero and attempt to solve: Simplifying -12 + 23x = 0 Solving -12 + 23x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 23x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 23x = 0 + 12 23x = 0 + 12 Combine like terms: 0 + 12 = 12 23x = 12 Divide each side by '23'. x = 0.5217391304 Simplifying x = 0.5217391304Solution
x = {0, 0.5217391304}
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