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Simplifying 2x(3 + -4)(2x + 1) = 0 Combine like terms: 3 + -4 = -1 2x(-1)(2x + 1) = 0 Reorder the terms: 2x * -1(1 + 2x) = 0 Reorder the terms for easier multiplication: 2 * -1x(1 + 2x) = 0 Multiply 2 * -1 -2x(1 + 2x) = 0 (1 * -2x + 2x * -2x) = 0 (-2x + -4x2) = 0 Solving -2x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {0, -0.5}
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