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Simplifying (2x + 1)(2x + -1) = 99 Reorder the terms: (1 + 2x)(2x + -1) = 99 Reorder the terms: (1 + 2x)(-1 + 2x) = 99 Multiply (1 + 2x) * (-1 + 2x) (1(-1 + 2x) + 2x * (-1 + 2x)) = 99 ((-1 * 1 + 2x * 1) + 2x * (-1 + 2x)) = 99 ((-1 + 2x) + 2x * (-1 + 2x)) = 99 (-1 + 2x + (-1 * 2x + 2x * 2x)) = 99 (-1 + 2x + (-2x + 4x2)) = 99 Combine like terms: 2x + -2x = 0 (-1 + 0 + 4x2) = 99 (-1 + 4x2) = 99 Solving -1 + 4x2 = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x2 = 99 + 1 Combine like terms: -1 + 1 = 0 0 + 4x2 = 99 + 1 4x2 = 99 + 1 Combine like terms: 99 + 1 = 100 4x2 = 100 Divide each side by '4'. x2 = 25 Simplifying x2 = 25 Take the square root of each side: x = {-5, 5}
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