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Simplifying -1x(2x + -3) + 2x(3 + -5x) = 0 Reorder the terms: -1x(-3 + 2x) + 2x(3 + -5x) = 0 (-3 * -1x + 2x * -1x) + 2x(3 + -5x) = 0 (3x + -2x2) + 2x(3 + -5x) = 0 3x + -2x2 + (3 * 2x + -5x * 2x) = 0 3x + -2x2 + (6x + -10x2) = 0 Reorder the terms: 3x + 6x + -2x2 + -10x2 = 0 Combine like terms: 3x + 6x = 9x 9x + -2x2 + -10x2 = 0 Combine like terms: -2x2 + -10x2 = -12x2 9x + -12x2 = 0 Solving 9x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(3 + -4x) = 0 Ignore the factor 3.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 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {0, 0.75}
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