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Simplifying 2(5x + -4)(5x + 4) = 0 Reorder the terms: 2(-4 + 5x)(5x + 4) = 0 Reorder the terms: 2(-4 + 5x)(4 + 5x) = 0 Multiply (-4 + 5x) * (4 + 5x) 2(-4(4 + 5x) + 5x * (4 + 5x)) = 0 2((4 * -4 + 5x * -4) + 5x * (4 + 5x)) = 0 2((-16 + -20x) + 5x * (4 + 5x)) = 0 2(-16 + -20x + (4 * 5x + 5x * 5x)) = 0 2(-16 + -20x + (20x + 25x2)) = 0 Combine like terms: -20x + 20x = 0 2(-16 + 0 + 25x2) = 0 2(-16 + 25x2) = 0 (-16 * 2 + 25x2 * 2) = 0 (-32 + 50x2) = 0 Solving -32 + 50x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 50x2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 50x2 = 0 + 32 50x2 = 0 + 32 Combine like terms: 0 + 32 = 32 50x2 = 32 Divide each side by '50'. x2 = 0.64 Simplifying x2 = 0.64 Take the square root of each side: x = {-0.8, 0.8}
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