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Simplifying 5x2 + 43 = (x + -10)(5x + 6) Reorder the terms: 43 + 5x2 = (x + -10)(5x + 6) Reorder the terms: 43 + 5x2 = (-10 + x)(5x + 6) Reorder the terms: 43 + 5x2 = (-10 + x)(6 + 5x) Multiply (-10 + x) * (6 + 5x) 43 + 5x2 = (-10(6 + 5x) + x(6 + 5x)) 43 + 5x2 = ((6 * -10 + 5x * -10) + x(6 + 5x)) 43 + 5x2 = ((-60 + -50x) + x(6 + 5x)) 43 + 5x2 = (-60 + -50x + (6 * x + 5x * x)) 43 + 5x2 = (-60 + -50x + (6x + 5x2)) Combine like terms: -50x + 6x = -44x 43 + 5x2 = (-60 + -44x + 5x2) Add '-5x2' to each side of the equation. 43 + 5x2 + -5x2 = -60 + -44x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 43 + 0 = -60 + -44x + 5x2 + -5x2 43 = -60 + -44x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 43 = -60 + -44x + 0 43 = -60 + -44x Solving 43 = -60 + -44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44x' to each side of the equation. 43 + 44x = -60 + -44x + 44x Combine like terms: -44x + 44x = 0 43 + 44x = -60 + 0 43 + 44x = -60 Add '-43' to each side of the equation. 43 + -43 + 44x = -60 + -43 Combine like terms: 43 + -43 = 0 0 + 44x = -60 + -43 44x = -60 + -43 Combine like terms: -60 + -43 = -103 44x = -103 Divide each side by '44'. x = -2.340909091 Simplifying x = -2.340909091
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