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Simplifying 3x2 + 4x + -2x2 + -3x + 2x = 0 Reorder the terms: 4x + -3x + 2x + 3x2 + -2x2 = 0 Combine like terms: 4x + -3x = 1x 1x + 2x + 3x2 + -2x2 = 0 Combine like terms: 1x + 2x = 3x 3x + 3x2 + -2x2 = 0 Combine like terms: 3x2 + -2x2 = 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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