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Simplifying 15x2 + -24x = 12x2 + 28x Reorder the terms: -24x + 15x2 = 12x2 + 28x Reorder the terms: -24x + 15x2 = 28x + 12x2 Solving -24x + 15x2 = 28x + 12x2 Solving for variable 'x'. Reorder the terms: -24x + -28x + 15x2 + -12x2 = 28x + 12x2 + -28x + -12x2 Combine like terms: -24x + -28x = -52x -52x + 15x2 + -12x2 = 28x + 12x2 + -28x + -12x2 Combine like terms: 15x2 + -12x2 = 3x2 -52x + 3x2 = 28x + 12x2 + -28x + -12x2 Reorder the terms: -52x + 3x2 = 28x + -28x + 12x2 + -12x2 Combine like terms: 28x + -28x = 0 -52x + 3x2 = 0 + 12x2 + -12x2 -52x + 3x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -52x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-52 + 3x) = 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 '(-52 + 3x)' equal to zero and attempt to solve: Simplifying -52 + 3x = 0 Solving -52 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 3x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 3x = 0 + 52 3x = 0 + 52 Combine like terms: 0 + 52 = 52 3x = 52 Divide each side by '3'. x = 17.33333333 Simplifying x = 17.33333333Solution
x = {0, 17.33333333}
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