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Simplifying 2x2 + 3x = (3x + -1) + -1x2 + -1x2 Reorder the terms: 3x + 2x2 = (3x + -1) + -1x2 + -1x2 Reorder the terms: 3x + 2x2 = (-1 + 3x) + -1x2 + -1x2 Remove parenthesis around (-1 + 3x) 3x + 2x2 = -1 + 3x + -1x2 + -1x2 Combine like terms: -1x2 + -1x2 = -2x2 3x + 2x2 = -1 + 3x + -2x2 Add '-3x' to each side of the equation. 3x + -3x + 2x2 = -1 + 3x + -3x + -2x2 Combine like terms: 3x + -3x = 0 0 + 2x2 = -1 + 3x + -3x + -2x2 2x2 = -1 + 3x + -3x + -2x2 Combine like terms: 3x + -3x = 0 2x2 = -1 + 0 + -2x2 2x2 = -1 + -2x2 Solving 2x2 = -1 + -2x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x2' to each side of the equation. 2x2 + 2x2 = -1 + -2x2 + 2x2 Combine like terms: 2x2 + 2x2 = 4x2 4x2 = -1 + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 4x2 = -1 + 0 4x2 = -1 Divide each side by '4'. x2 = -0.25 Simplifying x2 = -0.25 Reorder the terms: 0.25 + x2 = -0.25 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.25 + x2 = 0.00 The solution to this equation could not be determined.
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