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Simplifying x * 7(x + -4) = 20x Reorder the terms: x * 7(-4 + x) = 20x Reorder the terms for easier multiplication: 7x(-4 + x) = 20x (-4 * 7x + x * 7x) = 20x (-28x + 7x2) = 20x Solving -28x + 7x2 = 20x Solving for variable 'x'. Reorder the terms: -28x + -20x + 7x2 = 20x + -20x Combine like terms: -28x + -20x = -48x -48x + 7x2 = 20x + -20x Combine like terms: 20x + -20x = 0 -48x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-48 + 7x) = 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 '(-48 + 7x)' equal to zero and attempt to solve: Simplifying -48 + 7x = 0 Solving -48 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 7x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 7x = 0 + 48 7x = 0 + 48 Combine like terms: 0 + 48 = 48 7x = 48 Divide each side by '7'. x = 6.857142857 Simplifying x = 6.857142857Solution
x = {0, 6.857142857}
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