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Simplifying 2x2 + 3x = (2x + -1)(x + 1) Reorder the terms: 3x + 2x2 = (2x + -1)(x + 1) Reorder the terms: 3x + 2x2 = (-1 + 2x)(x + 1) Reorder the terms: 3x + 2x2 = (-1 + 2x)(1 + x) Multiply (-1 + 2x) * (1 + x) 3x + 2x2 = (-1(1 + x) + 2x * (1 + x)) 3x + 2x2 = ((1 * -1 + x * -1) + 2x * (1 + x)) 3x + 2x2 = ((-1 + -1x) + 2x * (1 + x)) 3x + 2x2 = (-1 + -1x + (1 * 2x + x * 2x)) 3x + 2x2 = (-1 + -1x + (2x + 2x2)) Combine like terms: -1x + 2x = 1x 3x + 2x2 = (-1 + 1x + 2x2) Add '-2x2' to each side of the equation. 3x + 2x2 + -2x2 = -1 + 1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3x + 0 = -1 + 1x + 2x2 + -2x2 3x = -1 + 1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3x = -1 + 1x + 0 3x = -1 + 1x Solving 3x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3x + -1x = -1 + 1x + -1x Combine like terms: 3x + -1x = 2x 2x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 2x = -1 + 0 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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