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Simplifying 3x2 + 8x = 8x2 + -16x Reorder the terms: 8x + 3x2 = 8x2 + -16x Reorder the terms: 8x + 3x2 = -16x + 8x2 Solving 8x + 3x2 = -16x + 8x2 Solving for variable 'x'. Reorder the terms: 8x + 16x + 3x2 + -8x2 = -16x + 8x2 + 16x + -8x2 Combine like terms: 8x + 16x = 24x 24x + 3x2 + -8x2 = -16x + 8x2 + 16x + -8x2 Combine like terms: 3x2 + -8x2 = -5x2 24x + -5x2 = -16x + 8x2 + 16x + -8x2 Reorder the terms: 24x + -5x2 = -16x + 16x + 8x2 + -8x2 Combine like terms: -16x + 16x = 0 24x + -5x2 = 0 + 8x2 + -8x2 24x + -5x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 24x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(24 + -5x) = 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 '(24 + -5x)' equal to zero and attempt to solve: Simplifying 24 + -5x = 0 Solving 24 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 0 + -24 -5x = 0 + -24 Combine like terms: 0 + -24 = -24 -5x = -24 Divide each side by '-5'. x = 4.8 Simplifying x = 4.8Solution
x = {0, 4.8}
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