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Simplifying 2x2 + 5 + -3 = (2x + -1)(x + 3) Reorder the terms: 5 + -3 + 2x2 = (2x + -1)(x + 3) Combine like terms: 5 + -3 = 2 2 + 2x2 = (2x + -1)(x + 3) Reorder the terms: 2 + 2x2 = (-1 + 2x)(x + 3) Reorder the terms: 2 + 2x2 = (-1 + 2x)(3 + x) Multiply (-1 + 2x) * (3 + x) 2 + 2x2 = (-1(3 + x) + 2x * (3 + x)) 2 + 2x2 = ((3 * -1 + x * -1) + 2x * (3 + x)) 2 + 2x2 = ((-3 + -1x) + 2x * (3 + x)) 2 + 2x2 = (-3 + -1x + (3 * 2x + x * 2x)) 2 + 2x2 = (-3 + -1x + (6x + 2x2)) Combine like terms: -1x + 6x = 5x 2 + 2x2 = (-3 + 5x + 2x2) Add '-2x2' to each side of the equation. 2 + 2x2 + -2x2 = -3 + 5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 2 + 0 = -3 + 5x + 2x2 + -2x2 2 = -3 + 5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 2 = -3 + 5x + 0 2 = -3 + 5x Solving 2 = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -5x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -5x = -3 + 0 2 + -5x = -3 Add '-2' to each side of the equation. 2 + -2 + -5x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -3 + -2 -5x = -3 + -2 Combine like terms: -3 + -2 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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