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Simplifying x(x + 10) = (x + -10)(x + 25) Reorder the terms: x(10 + x) = (x + -10)(x + 25) (10 * x + x * x) = (x + -10)(x + 25) (10x + x2) = (x + -10)(x + 25) Reorder the terms: 10x + x2 = (-10 + x)(x + 25) Reorder the terms: 10x + x2 = (-10 + x)(25 + x) Multiply (-10 + x) * (25 + x) 10x + x2 = (-10(25 + x) + x(25 + x)) 10x + x2 = ((25 * -10 + x * -10) + x(25 + x)) 10x + x2 = ((-250 + -10x) + x(25 + x)) 10x + x2 = (-250 + -10x + (25 * x + x * x)) 10x + x2 = (-250 + -10x + (25x + x2)) Combine like terms: -10x + 25x = 15x 10x + x2 = (-250 + 15x + x2) Add '-1x2' to each side of the equation. 10x + x2 + -1x2 = -250 + 15x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10x + 0 = -250 + 15x + x2 + -1x2 10x = -250 + 15x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10x = -250 + 15x + 0 10x = -250 + 15x Solving 10x = -250 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10x + -15x = -250 + 15x + -15x Combine like terms: 10x + -15x = -5x -5x = -250 + 15x + -15x Combine like terms: 15x + -15x = 0 -5x = -250 + 0 -5x = -250 Divide each side by '-5'. x = 50 Simplifying x = 50
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