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Simplifying (2x + -1)(2x + 1) = 63 Reorder the terms: (-1 + 2x)(2x + 1) = 63 Reorder the terms: (-1 + 2x)(1 + 2x) = 63 Multiply (-1 + 2x) * (1 + 2x) (-1(1 + 2x) + 2x * (1 + 2x)) = 63 ((1 * -1 + 2x * -1) + 2x * (1 + 2x)) = 63 ((-1 + -2x) + 2x * (1 + 2x)) = 63 (-1 + -2x + (1 * 2x + 2x * 2x)) = 63 (-1 + -2x + (2x + 4x2)) = 63 Combine like terms: -2x + 2x = 0 (-1 + 0 + 4x2) = 63 (-1 + 4x2) = 63 Solving -1 + 4x2 = 63 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 = 63 + 1 Combine like terms: -1 + 1 = 0 0 + 4x2 = 63 + 1 4x2 = 63 + 1 Combine like terms: 63 + 1 = 64 4x2 = 64 Divide each side by '4'. x2 = 16 Simplifying x2 = 16 Take the square root of each side: x = {-4, 4}
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