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Simplifying 2x(5x + -4) = x(3x + 6) Reorder the terms: 2x(-4 + 5x) = x(3x + 6) (-4 * 2x + 5x * 2x) = x(3x + 6) (-8x + 10x2) = x(3x + 6) Reorder the terms: -8x + 10x2 = x(6 + 3x) -8x + 10x2 = (6 * x + 3x * x) -8x + 10x2 = (6x + 3x2) Solving -8x + 10x2 = 6x + 3x2 Solving for variable 'x'. Reorder the terms: -8x + -6x + 10x2 + -3x2 = 6x + 3x2 + -6x + -3x2 Combine like terms: -8x + -6x = -14x -14x + 10x2 + -3x2 = 6x + 3x2 + -6x + -3x2 Combine like terms: 10x2 + -3x2 = 7x2 -14x + 7x2 = 6x + 3x2 + -6x + -3x2 Reorder the terms: -14x + 7x2 = 6x + -6x + 3x2 + -3x2 Combine like terms: 6x + -6x = 0 -14x + 7x2 = 0 + 3x2 + -3x2 -14x + 7x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -14x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(-2 + x) = 0 Ignore the factor 7.Subproblem 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solution
x = {0, 2}
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