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Simplifying (2x + 5)(2x + -5) = 811 Reorder the terms: (5 + 2x)(2x + -5) = 811 Reorder the terms: (5 + 2x)(-5 + 2x) = 811 Multiply (5 + 2x) * (-5 + 2x) (5(-5 + 2x) + 2x * (-5 + 2x)) = 811 ((-5 * 5 + 2x * 5) + 2x * (-5 + 2x)) = 811 ((-25 + 10x) + 2x * (-5 + 2x)) = 811 (-25 + 10x + (-5 * 2x + 2x * 2x)) = 811 (-25 + 10x + (-10x + 4x2)) = 811 Combine like terms: 10x + -10x = 0 (-25 + 0 + 4x2) = 811 (-25 + 4x2) = 811 Solving -25 + 4x2 = 811 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 4x2 = 811 + 25 Combine like terms: -25 + 25 = 0 0 + 4x2 = 811 + 25 4x2 = 811 + 25 Combine like terms: 811 + 25 = 836 4x2 = 836 Divide each side by '4'. x2 = 209 Simplifying x2 = 209 Take the square root of each side: x = {-14.456832295, 14.456832295}
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