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Simplifying (5 + x)(5 + -1x) = 4 Multiply (5 + x) * (5 + -1x) (5(5 + -1x) + x(5 + -1x)) = 4 ((5 * 5 + -1x * 5) + x(5 + -1x)) = 4 ((25 + -5x) + x(5 + -1x)) = 4 (25 + -5x + (5 * x + -1x * x)) = 4 (25 + -5x + (5x + -1x2)) = 4 Combine like terms: -5x + 5x = 0 (25 + 0 + -1x2) = 4 (25 + -1x2) = 4 Solving 25 + -1x2 = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x2 = 4 + -25 Combine like terms: 25 + -25 = 0 0 + -1x2 = 4 + -25 -1x2 = 4 + -25 Combine like terms: 4 + -25 = -21 -1x2 = -21 Divide each side by '-1'. x2 = 21 Simplifying x2 = 21 Take the square root of each side: x = {-4.582575695, 4.582575695}
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