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Simplifying 5x2 + 43 = (x + -1)(5x + 6) Reorder the terms: 43 + 5x2 = (x + -1)(5x + 6) Reorder the terms: 43 + 5x2 = (-1 + x)(5x + 6) Reorder the terms: 43 + 5x2 = (-1 + x)(6 + 5x) Multiply (-1 + x) * (6 + 5x) 43 + 5x2 = (-1(6 + 5x) + x(6 + 5x)) 43 + 5x2 = ((6 * -1 + 5x * -1) + x(6 + 5x)) 43 + 5x2 = ((-6 + -5x) + x(6 + 5x)) 43 + 5x2 = (-6 + -5x + (6 * x + 5x * x)) 43 + 5x2 = (-6 + -5x + (6x + 5x2)) Combine like terms: -5x + 6x = 1x 43 + 5x2 = (-6 + 1x + 5x2) Add '-5x2' to each side of the equation. 43 + 5x2 + -5x2 = -6 + 1x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 43 + 0 = -6 + 1x + 5x2 + -5x2 43 = -6 + 1x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 43 = -6 + 1x + 0 43 = -6 + 1x Solving 43 = -6 + 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. 43 + -1x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 43 + -1x = -6 + 0 43 + -1x = -6 Add '-43' to each side of the equation. 43 + -43 + -1x = -6 + -43 Combine like terms: 43 + -43 = 0 0 + -1x = -6 + -43 -1x = -6 + -43 Combine like terms: -6 + -43 = -49 -1x = -49 Divide each side by '-1'. x = 49 Simplifying x = 49
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