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Simplifying (5x + 3)(5x + -3) = 25 Reorder the terms: (3 + 5x)(5x + -3) = 25 Reorder the terms: (3 + 5x)(-3 + 5x) = 25 Multiply (3 + 5x) * (-3 + 5x) (3(-3 + 5x) + 5x * (-3 + 5x)) = 25 ((-3 * 3 + 5x * 3) + 5x * (-3 + 5x)) = 25 ((-9 + 15x) + 5x * (-3 + 5x)) = 25 (-9 + 15x + (-3 * 5x + 5x * 5x)) = 25 (-9 + 15x + (-15x + 25x2)) = 25 Combine like terms: 15x + -15x = 0 (-9 + 0 + 25x2) = 25 (-9 + 25x2) = 25 Solving -9 + 25x2 = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 25x2 = 25 + 9 Combine like terms: -9 + 9 = 0 0 + 25x2 = 25 + 9 25x2 = 25 + 9 Combine like terms: 25 + 9 = 34 25x2 = 34 Divide each side by '25'. x2 = 1.36 Simplifying x2 = 1.36 Take the square root of each side: x = {-1.166190379, 1.166190379}
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