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Simplifying (x + -5)(x + 5) = x * x + -100x Reorder the terms: (-5 + x)(x + 5) = x * x + -100x Reorder the terms: (-5 + x)(5 + x) = x * x + -100x Multiply (-5 + x) * (5 + x) (-5(5 + x) + x(5 + x)) = x * x + -100x ((5 * -5 + x * -5) + x(5 + x)) = x * x + -100x ((-25 + -5x) + x(5 + x)) = x * x + -100x (-25 + -5x + (5 * x + x * x)) = x * x + -100x (-25 + -5x + (5x + x2)) = x * x + -100x Combine like terms: -5x + 5x = 0 (-25 + 0 + x2) = x * x + -100x (-25 + x2) = x * x + -100x Multiply x * x -25 + x2 = x2 + -100x Reorder the terms: -25 + x2 = -100x + x2 Add '-1x2' to each side of the equation. -25 + x2 + -1x2 = -100x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -25 + 0 = -100x + x2 + -1x2 -25 = -100x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -25 = -100x + 0 -25 = -100x Solving -25 = -100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100x' to each side of the equation. -25 + 100x = -100x + 100x Combine like terms: -100x + 100x = 0 -25 + 100x = 0 Add '25' to each side of the equation. -25 + 25 + 100x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 100x = 0 + 25 100x = 0 + 25 Combine like terms: 0 + 25 = 25 100x = 25 Divide each side by '100'. x = 0.25 Simplifying x = 0.25
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