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Simplifying -2x(3x + -2) = 3x Reorder the terms: -2x(-2 + 3x) = 3x (-2 * -2x + 3x * -2x) = 3x (4x + -6x2) = 3x Solving 4x + -6x2 = 3x Solving for variable 'x'. Reorder the terms: 4x + -3x + -6x2 = 3x + -3x Combine like terms: 4x + -3x = 1x 1x + -6x2 = 3x + -3x Combine like terms: 3x + -3x = 0 1x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -6x) = 0Subproblem 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 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {0, 0.1666666667}
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