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Simplifying (3x2 + 2x + 4) + -1(x2 + 2x + 1) = 0 Reorder the terms: (4 + 2x + 3x2) + -1(x2 + 2x + 1) = 0 Remove parenthesis around (4 + 2x + 3x2) 4 + 2x + 3x2 + -1(x2 + 2x + 1) = 0 Reorder the terms: 4 + 2x + 3x2 + -1(1 + 2x + x2) = 0 4 + 2x + 3x2 + (1 * -1 + 2x * -1 + x2 * -1) = 0 4 + 2x + 3x2 + (-1 + -2x + -1x2) = 0 Reorder the terms: 4 + -1 + 2x + -2x + 3x2 + -1x2 = 0 Combine like terms: 4 + -1 = 3 3 + 2x + -2x + 3x2 + -1x2 = 0 Combine like terms: 2x + -2x = 0 3 + 0 + 3x2 + -1x2 = 0 3 + 3x2 + -1x2 = 0 Combine like terms: 3x2 + -1x2 = 2x2 3 + 2x2 = 0 Solving 3 + 2x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x2 = 0 + -3 2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 2x2 = -3 Divide each side by '2'. x2 = -1.5 Simplifying x2 = -1.5 Reorder the terms: 1.5 + x2 = -1.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 1.5 + x2 = 0.0 The solution to this equation could not be determined.
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