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Simplifying 8(2x + 5)(2x + -5) = 0 Reorder the terms: 8(5 + 2x)(2x + -5) = 0 Reorder the terms: 8(5 + 2x)(-5 + 2x) = 0 Multiply (5 + 2x) * (-5 + 2x) 8(5(-5 + 2x) + 2x * (-5 + 2x)) = 0 8((-5 * 5 + 2x * 5) + 2x * (-5 + 2x)) = 0 8((-25 + 10x) + 2x * (-5 + 2x)) = 0 8(-25 + 10x + (-5 * 2x + 2x * 2x)) = 0 8(-25 + 10x + (-10x + 4x2)) = 0 Combine like terms: 10x + -10x = 0 8(-25 + 0 + 4x2) = 0 8(-25 + 4x2) = 0 (-25 * 8 + 4x2 * 8) = 0 (-200 + 32x2) = 0 Solving -200 + 32x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + 32x2 = 0 + 200 Combine like terms: -200 + 200 = 0 0 + 32x2 = 0 + 200 32x2 = 0 + 200 Combine like terms: 0 + 200 = 200 32x2 = 200 Divide each side by '32'. x2 = 6.25 Simplifying x2 = 6.25 Take the square root of each side: x = {-2.5, 2.5}
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