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Simplifying x2 + 3x = -2x2 + x Reorder the terms: 3x + x2 = -2x2 + x Reorder the terms: 3x + x2 = x + -2x2 Solving 3x + x2 = x + -2x2 Solving for variable 'x'. Reorder the terms: 3x + -1x + x2 + 2x2 = x + -2x2 + -1x + 2x2 Combine like terms: 3x + -1x = 2x 2x + x2 + 2x2 = x + -2x2 + -1x + 2x2 Combine like terms: x2 + 2x2 = 3x2 2x + 3x2 = x + -2x2 + -1x + 2x2 Reorder the terms: 2x + 3x2 = x + -1x + -2x2 + 2x2 Combine like terms: x + -1x = 0 2x + 3x2 = 0 + -2x2 + 2x2 2x + 3x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 2x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2 + 3x) = 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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {0, -0.6666666667}
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