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Simplifying 7x(x + -4) = 5x(x + -2) Reorder the terms: 7x(-4 + x) = 5x(x + -2) (-4 * 7x + x * 7x) = 5x(x + -2) (-28x + 7x2) = 5x(x + -2) Reorder the terms: -28x + 7x2 = 5x(-2 + x) -28x + 7x2 = (-2 * 5x + x * 5x) -28x + 7x2 = (-10x + 5x2) Solving -28x + 7x2 = -10x + 5x2 Solving for variable 'x'. Reorder the terms: -28x + 10x + 7x2 + -5x2 = -10x + 5x2 + 10x + -5x2 Combine like terms: -28x + 10x = -18x -18x + 7x2 + -5x2 = -10x + 5x2 + 10x + -5x2 Combine like terms: 7x2 + -5x2 = 2x2 -18x + 2x2 = -10x + 5x2 + 10x + -5x2 Reorder the terms: -18x + 2x2 = -10x + 10x + 5x2 + -5x2 Combine like terms: -10x + 10x = 0 -18x + 2x2 = 0 + 5x2 + -5x2 -18x + 2x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -18x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-9 + x) = 0 Ignore the factor 2.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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Solution
x = {0, 9}
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