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Simplifying x * 2(x * 2 + -4) + 4x(x * 2 + -4) + 4(x * 2 + -4) = 0 Reorder the terms for easier multiplication: x * 2(2x + -4) + 4x(x * 2 + -4) + 4(x * 2 + -4) = 0 Reorder the terms: x * 2(-4 + 2x) + 4x(x * 2 + -4) + 4(x * 2 + -4) = 0 Reorder the terms for easier multiplication: 2x(-4 + 2x) + 4x(x * 2 + -4) + 4(x * 2 + -4) = 0 (-4 * 2x + 2x * 2x) + 4x(x * 2 + -4) + 4(x * 2 + -4) = 0 (-8x + 4x2) + 4x(x * 2 + -4) + 4(x * 2 + -4) = 0 Reorder the terms for easier multiplication: -8x + 4x2 + 4x(2x + -4) + 4(x * 2 + -4) = 0 Reorder the terms: -8x + 4x2 + 4x(-4 + 2x) + 4(x * 2 + -4) = 0 -8x + 4x2 + (-4 * 4x + 2x * 4x) + 4(x * 2 + -4) = 0 -8x + 4x2 + (-16x + 8x2) + 4(x * 2 + -4) = 0 Reorder the terms for easier multiplication: -8x + 4x2 + -16x + 8x2 + 4(2x + -4) = 0 Reorder the terms: -8x + 4x2 + -16x + 8x2 + 4(-4 + 2x) = 0 -8x + 4x2 + -16x + 8x2 + (-4 * 4 + 2x * 4) = 0 -8x + 4x2 + -16x + 8x2 + (-16 + 8x) = 0 Reorder the terms: -16 + -8x + -16x + 8x + 4x2 + 8x2 = 0 Combine like terms: -8x + -16x = -24x -16 + -24x + 8x + 4x2 + 8x2 = 0 Combine like terms: -24x + 8x = -16x -16 + -16x + 4x2 + 8x2 = 0 Combine like terms: 4x2 + 8x2 = 12x2 -16 + -16x + 12x2 = 0 Solving -16 + -16x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-4 + -4x + 3x2) = 0 Factor a trinomial. 4((-2 + -3x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.6666666667, 2}
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