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Simplifying x(x + -1) = 4x Reorder the terms: x(-1 + x) = 4x (-1 * x + x * x) = 4x (-1x + x2) = 4x Solving -1x + x2 = 4x Solving for variable 'x'. Reorder the terms: -1x + -4x + x2 = 4x + -4x Combine like terms: -1x + -4x = -5x -5x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -5x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Solution
x = {0, 5}
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