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Simplifying x2 + 225 = (x + 5)(x + 5) Reorder the terms: 225 + x2 = (x + 5)(x + 5) Reorder the terms: 225 + x2 = (5 + x)(x + 5) Reorder the terms: 225 + x2 = (5 + x)(5 + x) Multiply (5 + x) * (5 + x) 225 + x2 = (5(5 + x) + x(5 + x)) 225 + x2 = ((5 * 5 + x * 5) + x(5 + x)) 225 + x2 = ((25 + 5x) + x(5 + x)) 225 + x2 = (25 + 5x + (5 * x + x * x)) 225 + x2 = (25 + 5x + (5x + x2)) Combine like terms: 5x + 5x = 10x 225 + x2 = (25 + 10x + x2) Add '-1x2' to each side of the equation. 225 + x2 + -1x2 = 25 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 225 + 0 = 25 + 10x + x2 + -1x2 225 = 25 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 225 = 25 + 10x + 0 225 = 25 + 10x Solving 225 = 25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 225 + -10x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 225 + -10x = 25 + 0 225 + -10x = 25 Add '-225' to each side of the equation. 225 + -225 + -10x = 25 + -225 Combine like terms: 225 + -225 = 0 0 + -10x = 25 + -225 -10x = 25 + -225 Combine like terms: 25 + -225 = -200 -10x = -200 Divide each side by '-10'. x = 20 Simplifying x = 20
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