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Simplifying x2 + -11x + 30 = (x + 6)(x + 5) Reorder the terms: 30 + -11x + x2 = (x + 6)(x + 5) Reorder the terms: 30 + -11x + x2 = (6 + x)(x + 5) Reorder the terms: 30 + -11x + x2 = (6 + x)(5 + x) Multiply (6 + x) * (5 + x) 30 + -11x + x2 = (6(5 + x) + x(5 + x)) 30 + -11x + x2 = ((5 * 6 + x * 6) + x(5 + x)) 30 + -11x + x2 = ((30 + 6x) + x(5 + x)) 30 + -11x + x2 = (30 + 6x + (5 * x + x * x)) 30 + -11x + x2 = (30 + 6x + (5x + x2)) Combine like terms: 6x + 5x = 11x 30 + -11x + x2 = (30 + 11x + x2) Add '-30' to each side of the equation. 30 + -11x + -30 + x2 = 30 + 11x + -30 + x2 Reorder the terms: 30 + -30 + -11x + x2 = 30 + 11x + -30 + x2 Combine like terms: 30 + -30 = 0 0 + -11x + x2 = 30 + 11x + -30 + x2 -11x + x2 = 30 + 11x + -30 + x2 Reorder the terms: -11x + x2 = 30 + -30 + 11x + x2 Combine like terms: 30 + -30 = 0 -11x + x2 = 0 + 11x + x2 -11x + x2 = 11x + x2 Add '-1x2' to each side of the equation. -11x + x2 + -1x2 = 11x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11x + 0 = 11x + x2 + -1x2 -11x = 11x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11x = 11x + 0 -11x = 11x Solving -11x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -11x + -11x = 11x + -11x Combine like terms: -11x + -11x = -22x -22x = 11x + -11x Combine like terms: 11x + -11x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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