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Simplifying 2x(-4x2 + 3) = 0 Reorder the terms: 2x(3 + -4x2) = 0 (3 * 2x + -4x2 * 2x) = 0 (6x + -8x3) = 0 Solving 6x + -8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(3 + -4x2) = 0 Ignore the factor 2.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 + -4x2)' equal to zero and attempt to solve: Simplifying 3 + -4x2 = 0 Solving 3 + -4x2 = 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 + -4x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x2 = 0 + -3 -4x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -4x2 = -3 Divide each side by '-4'. x2 = 0.75 Simplifying x2 = 0.75 Take the square root of each side: x = {-0.866025404, 0.866025404}Solution
x = {0, -0.866025404, 0.866025404}
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