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Simplifying (4 + 5x)(4 + -5x) = 0 Multiply (4 + 5x) * (4 + -5x) (4(4 + -5x) + 5x * (4 + -5x)) = 0 ((4 * 4 + -5x * 4) + 5x * (4 + -5x)) = 0 ((16 + -20x) + 5x * (4 + -5x)) = 0 (16 + -20x + (4 * 5x + -5x * 5x)) = 0 (16 + -20x + (20x + -25x2)) = 0 Combine like terms: -20x + 20x = 0 (16 + 0 + -25x2) = 0 (16 + -25x2) = 0 Solving 16 + -25x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -25x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -25x2 = 0 + -16 -25x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -25x2 = -16 Divide each side by '-25'. x2 = 0.64 Simplifying x2 = 0.64 Take the square root of each side: x = {-0.8, 0.8}
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