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Simplifying x(2x + 1)(x + -4) = 0 Reorder the terms: x(1 + 2x)(x + -4) = 0 Reorder the terms: x(1 + 2x)(-4 + x) = 0 Multiply (1 + 2x) * (-4 + x) x(1(-4 + x) + 2x * (-4 + x)) = 0 x((-4 * 1 + x * 1) + 2x * (-4 + x)) = 0 x((-4 + 1x) + 2x * (-4 + x)) = 0 x(-4 + 1x + (-4 * 2x + x * 2x)) = 0 x(-4 + 1x + (-8x + 2x2)) = 0 Combine like terms: 1x + -8x = -7x x(-4 + -7x + 2x2) = 0 (-4 * x + -7x * x + 2x2 * x) = 0 (-4x + -7x2 + 2x3) = 0 Solving -4x + -7x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + -7x + 2x2) = 0 Factor a trinomial. x((-1 + -2x)(4 + -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 '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, -0.5, 4}
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