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Simplifying 3x(x + -3) = 8x2 + -10x Reorder the terms: 3x(-3 + x) = 8x2 + -10x (-3 * 3x + x * 3x) = 8x2 + -10x (-9x + 3x2) = 8x2 + -10x Reorder the terms: -9x + 3x2 = -10x + 8x2 Solving -9x + 3x2 = -10x + 8x2 Solving for variable 'x'. Reorder the terms: -9x + 10x + 3x2 + -8x2 = -10x + 8x2 + 10x + -8x2 Combine like terms: -9x + 10x = 1x 1x + 3x2 + -8x2 = -10x + 8x2 + 10x + -8x2 Combine like terms: 3x2 + -8x2 = -5x2 1x + -5x2 = -10x + 8x2 + 10x + -8x2 Reorder the terms: 1x + -5x2 = -10x + 10x + 8x2 + -8x2 Combine like terms: -10x + 10x = 0 1x + -5x2 = 0 + 8x2 + -8x2 1x + -5x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 1x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {0, 0.2}
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