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Simplifying x2 + 9x + 20 = (x + 5)(x + -4) Reorder the terms: 20 + 9x + x2 = (x + 5)(x + -4) Reorder the terms: 20 + 9x + x2 = (5 + x)(x + -4) Reorder the terms: 20 + 9x + x2 = (5 + x)(-4 + x) Multiply (5 + x) * (-4 + x) 20 + 9x + x2 = (5(-4 + x) + x(-4 + x)) 20 + 9x + x2 = ((-4 * 5 + x * 5) + x(-4 + x)) 20 + 9x + x2 = ((-20 + 5x) + x(-4 + x)) 20 + 9x + x2 = (-20 + 5x + (-4 * x + x * x)) 20 + 9x + x2 = (-20 + 5x + (-4x + x2)) Combine like terms: 5x + -4x = 1x 20 + 9x + x2 = (-20 + 1x + x2) Add '-1x2' to each side of the equation. 20 + 9x + x2 + -1x2 = -20 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + 9x + 0 = -20 + 1x + x2 + -1x2 20 + 9x = -20 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + 9x = -20 + 1x + 0 20 + 9x = -20 + 1x Solving 20 + 9x = -20 + 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. 20 + 9x + -1x = -20 + 1x + -1x Combine like terms: 9x + -1x = 8x 20 + 8x = -20 + 1x + -1x Combine like terms: 1x + -1x = 0 20 + 8x = -20 + 0 20 + 8x = -20 Add '-20' to each side of the equation. 20 + -20 + 8x = -20 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = -20 + -20 8x = -20 + -20 Combine like terms: -20 + -20 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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