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Simplifying (4x + -5)(4x + 5) = 0 Reorder the terms: (-5 + 4x)(4x + 5) = 0 Reorder the terms: (-5 + 4x)(5 + 4x) = 0 Multiply (-5 + 4x) * (5 + 4x) (-5(5 + 4x) + 4x * (5 + 4x)) = 0 ((5 * -5 + 4x * -5) + 4x * (5 + 4x)) = 0 ((-25 + -20x) + 4x * (5 + 4x)) = 0 (-25 + -20x + (5 * 4x + 4x * 4x)) = 0 (-25 + -20x + (20x + 16x2)) = 0 Combine like terms: -20x + 20x = 0 (-25 + 0 + 16x2) = 0 (-25 + 16x2) = 0 Solving -25 + 16x2 = 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 + 16x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 16x2 = 0 + 25 16x2 = 0 + 25 Combine like terms: 0 + 25 = 25 16x2 = 25 Divide each side by '16'. x2 = 1.5625 Simplifying x2 = 1.5625 Take the square root of each side: x = {-1.25, 1.25}
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