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Simplifying (5 + 2x)(5 + -2x) = 0 Multiply (5 + 2x) * (5 + -2x) (5(5 + -2x) + 2x * (5 + -2x)) = 0 ((5 * 5 + -2x * 5) + 2x * (5 + -2x)) = 0 ((25 + -10x) + 2x * (5 + -2x)) = 0 (25 + -10x + (5 * 2x + -2x * 2x)) = 0 (25 + -10x + (10x + -4x2)) = 0 Combine like terms: -10x + 10x = 0 (25 + 0 + -4x2) = 0 (25 + -4x2) = 0 Solving 25 + -4x2 = 0 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 + -4x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4x2 = 0 + -25 -4x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -4x2 = -25 Divide each side by '-4'. x2 = 6.25 Simplifying x2 = 6.25 Take the square root of each side: x = {-2.5, 2.5}
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