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Simplifying -4x + -3x(2x + 4) + 5x(-1x + 4) = 0 Reorder the terms: -4x + -3x(4 + 2x) + 5x(-1x + 4) = 0 -4x + (4 * -3x + 2x * -3x) + 5x(-1x + 4) = 0 -4x + (-12x + -6x2) + 5x(-1x + 4) = 0 Reorder the terms: -4x + -12x + -6x2 + 5x(4 + -1x) = 0 -4x + -12x + -6x2 + (4 * 5x + -1x * 5x) = 0 -4x + -12x + -6x2 + (20x + -5x2) = 0 Reorder the terms: -4x + -12x + 20x + -6x2 + -5x2 = 0 Combine like terms: -4x + -12x = -16x -16x + 20x + -6x2 + -5x2 = 0 Combine like terms: -16x + 20x = 4x 4x + -6x2 + -5x2 = 0 Combine like terms: -6x2 + -5x2 = -11x2 4x + -11x2 = 0 Solving 4x + -11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4 + -11x) = 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 + -11x)' equal to zero and attempt to solve: Simplifying 4 + -11x = 0 Solving 4 + -11x = 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 + -11x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 0 + -4 -11x = 0 + -4 Combine like terms: 0 + -4 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636Solution
x = {0, 0.3636363636}
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