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Simplifying 4(2x + -1) * 2x = 16x Reorder the terms: 4(-1 + 2x) * 2x = 16x Reorder the terms for easier multiplication: 4 * 2x(-1 + 2x) = 16x Multiply 4 * 2 8x(-1 + 2x) = 16x (-1 * 8x + 2x * 8x) = 16x (-8x + 16x2) = 16x Solving -8x + 16x2 = 16x Solving for variable 'x'. Reorder the terms: -8x + -16x + 16x2 = 16x + -16x Combine like terms: -8x + -16x = -24x -24x + 16x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -24x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-3 + 2x) = 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 '(-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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