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Simplifying -1x(2x + 3) + 6x = 0 Reorder the terms: -1x(3 + 2x) + 6x = 0 (3 * -1x + 2x * -1x) + 6x = 0 (-3x + -2x2) + 6x = 0 Reorder the terms: -3x + 6x + -2x2 = 0 Combine like terms: -3x + 6x = 3x 3x + -2x2 = 0 Solving 3x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -2x) = 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 '(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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