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Simplifying 5x2 + 5 = (x + -1)(5x + 3) Reorder the terms: 5 + 5x2 = (x + -1)(5x + 3) Reorder the terms: 5 + 5x2 = (-1 + x)(5x + 3) Reorder the terms: 5 + 5x2 = (-1 + x)(3 + 5x) Multiply (-1 + x) * (3 + 5x) 5 + 5x2 = (-1(3 + 5x) + x(3 + 5x)) 5 + 5x2 = ((3 * -1 + 5x * -1) + x(3 + 5x)) 5 + 5x2 = ((-3 + -5x) + x(3 + 5x)) 5 + 5x2 = (-3 + -5x + (3 * x + 5x * x)) 5 + 5x2 = (-3 + -5x + (3x + 5x2)) Combine like terms: -5x + 3x = -2x 5 + 5x2 = (-3 + -2x + 5x2) Add '-5x2' to each side of the equation. 5 + 5x2 + -5x2 = -3 + -2x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 5 + 0 = -3 + -2x + 5x2 + -5x2 5 = -3 + -2x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 5 = -3 + -2x + 0 5 = -3 + -2x Solving 5 = -3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 2x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 2x = -3 + 0 5 + 2x = -3 Add '-5' to each side of the equation. 5 + -5 + 2x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -3 + -5 2x = -3 + -5 Combine like terms: -3 + -5 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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