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Simplifying 4(-4x2 + 5x) + -1(2x + -4x2) = 0 Reorder the terms: 4(5x + -4x2) + -1(2x + -4x2) = 0 (5x * 4 + -4x2 * 4) + -1(2x + -4x2) = 0 (20x + -16x2) + -1(2x + -4x2) = 0 20x + -16x2 + (2x * -1 + -4x2 * -1) = 0 20x + -16x2 + (-2x + 4x2) = 0 Reorder the terms: 20x + -2x + -16x2 + 4x2 = 0 Combine like terms: 20x + -2x = 18x 18x + -16x2 + 4x2 = 0 Combine like terms: -16x2 + 4x2 = -12x2 18x + -12x2 = 0 Solving 18x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(3 + -2x) = 0 Ignore the factor 6.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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, 1.5}
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