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Simplifying -4x(5x + -1)(8x + 6) = 0 Reorder the terms: -4x(-1 + 5x)(8x + 6) = 0 Reorder the terms: -4x(-1 + 5x)(6 + 8x) = 0 Multiply (-1 + 5x) * (6 + 8x) -4x(-1(6 + 8x) + 5x * (6 + 8x)) = 0 -4x((6 * -1 + 8x * -1) + 5x * (6 + 8x)) = 0 -4x((-6 + -8x) + 5x * (6 + 8x)) = 0 -4x(-6 + -8x + (6 * 5x + 8x * 5x)) = 0 -4x(-6 + -8x + (30x + 40x2)) = 0 Combine like terms: -8x + 30x = 22x -4x(-6 + 22x + 40x2) = 0 (-6 * -4x + 22x * -4x + 40x2 * -4x) = 0 (24x + -88x2 + -160x3) = 0 Solving 24x + -88x2 + -160x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(3 + -11x + -20x2) = 0 Factor a trinomial. 8x((1 + -5x)(3 + 4x)) = 0 Ignore the factor 8.Subproblem 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 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 3
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {0, 0.2, -0.75}
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