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Simplifying 31 + x2 = (x + -3)(x + -2) Reorder the terms: 31 + x2 = (-3 + x)(x + -2) Reorder the terms: 31 + x2 = (-3 + x)(-2 + x) Multiply (-3 + x) * (-2 + x) 31 + x2 = (-3(-2 + x) + x(-2 + x)) 31 + x2 = ((-2 * -3 + x * -3) + x(-2 + x)) 31 + x2 = ((6 + -3x) + x(-2 + x)) 31 + x2 = (6 + -3x + (-2 * x + x * x)) 31 + x2 = (6 + -3x + (-2x + x2)) Combine like terms: -3x + -2x = -5x 31 + x2 = (6 + -5x + x2) Add '-1x2' to each side of the equation. 31 + x2 + -1x2 = 6 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 31 + 0 = 6 + -5x + x2 + -1x2 31 = 6 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 31 = 6 + -5x + 0 31 = 6 + -5x Solving 31 = 6 + -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. 31 + 5x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 31 + 5x = 6 + 0 31 + 5x = 6 Add '-31' to each side of the equation. 31 + -31 + 5x = 6 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = 6 + -31 5x = 6 + -31 Combine like terms: 6 + -31 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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