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Simplifying 4x(2 + -8) = 3x(4x + -2) Combine like terms: 2 + -8 = -6 4x(-6) = 3x(4x + -2) Reorder the terms for easier multiplication: 4 * -6x = 3x(4x + -2) Multiply 4 * -6 -24x = 3x(4x + -2) Reorder the terms: -24x = 3x(-2 + 4x) -24x = (-2 * 3x + 4x * 3x) -24x = (-6x + 12x2) Solving -24x = -6x + 12x2 Solving for variable 'x'. Combine like terms: -24x + 6x = -18x -18x + -12x2 = -6x + 12x2 + 6x + -12x2 Reorder the terms: -18x + -12x2 = -6x + 6x + 12x2 + -12x2 Combine like terms: -6x + 6x = 0 -18x + -12x2 = 0 + 12x2 + -12x2 -18x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -18x + -12x2 = 0 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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