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Simplifying 2x(x + -3) = x2 + 2x Reorder the terms: 2x(-3 + x) = x2 + 2x (-3 * 2x + x * 2x) = x2 + 2x (-6x + 2x2) = x2 + 2x Reorder the terms: -6x + 2x2 = 2x + x2 Solving -6x + 2x2 = 2x + x2 Solving for variable 'x'. Reorder the terms: -6x + -2x + 2x2 + -1x2 = 2x + x2 + -2x + -1x2 Combine like terms: -6x + -2x = -8x -8x + 2x2 + -1x2 = 2x + x2 + -2x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -8x + 1x2 = 2x + x2 + -2x + -1x2 Reorder the terms: -8x + 1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 -8x + 1x2 = 0 + x2 + -1x2 -8x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + x) = 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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Solution
x = {0, 8}
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