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Simplifying 5x(7x + -3) = 20x Reorder the terms: 5x(-3 + 7x) = 20x (-3 * 5x + 7x * 5x) = 20x (-15x + 35x2) = 20x Solving -15x + 35x2 = 20x Solving for variable 'x'. Reorder the terms: -15x + -20x + 35x2 = 20x + -20x Combine like terms: -15x + -20x = -35x -35x + 35x2 = 20x + -20x Combine like terms: 20x + -20x = 0 -35x + 35x2 = 0 Factor out the Greatest Common Factor (GCF), '35x'. 35x(-1 + x) = 0 Ignore the factor 35.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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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