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Simplifying x2 + -25 = (x + -5)(x + -5) Reorder the terms: -25 + x2 = (x + -5)(x + -5) Reorder the terms: -25 + x2 = (-5 + x)(x + -5) Reorder the terms: -25 + x2 = (-5 + x)(-5 + x) Multiply (-5 + x) * (-5 + x) -25 + x2 = (-5(-5 + x) + x(-5 + x)) -25 + x2 = ((-5 * -5 + x * -5) + x(-5 + x)) -25 + x2 = ((25 + -5x) + x(-5 + x)) -25 + x2 = (25 + -5x + (-5 * x + x * x)) -25 + x2 = (25 + -5x + (-5x + x2)) Combine like terms: -5x + -5x = -10x -25 + x2 = (25 + -10x + x2) Add '-1x2' to each side of the equation. -25 + x2 + -1x2 = 25 + -10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -25 + 0 = 25 + -10x + x2 + -1x2 -25 = 25 + -10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -25 = 25 + -10x + 0 -25 = 25 + -10x Solving -25 = 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. -25 + 10x = 25 + -10x + 10x Combine like terms: -10x + 10x = 0 -25 + 10x = 25 + 0 -25 + 10x = 25 Add '25' to each side of the equation. -25 + 25 + 10x = 25 + 25 Combine like terms: -25 + 25 = 0 0 + 10x = 25 + 25 10x = 25 + 25 Combine like terms: 25 + 25 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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