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Simplifying (5x + 4)(5x + -4) = 0 Reorder the terms: (4 + 5x)(5x + -4) = 0 Reorder the terms: (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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