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