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Simplifying x(4 + -1x)(x + -1) = 0 Reorder the terms: x(4 + -1x)(-1 + x) = 0 Multiply (4 + -1x) * (-1 + x) x(4(-1 + x) + -1x * (-1 + x)) = 0 x((-1 * 4 + x * 4) + -1x * (-1 + x)) = 0 x((-4 + 4x) + -1x * (-1 + x)) = 0 x(-4 + 4x + (-1 * -1x + x * -1x)) = 0 x(-4 + 4x + (1x + -1x2)) = 0 Combine like terms: 4x + 1x = 5x x(-4 + 5x + -1x2) = 0 (-4 * x + 5x * x + -1x2 * x) = 0 (-4x + 5x2 + -1x3) = 0 Solving -4x + 5x2 + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 5x + -1x2) = 0 Factor a trinomial. x((-4 + x)(1 + -1x)) = 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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 4, 1}
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