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Simplifying (x + 5)(x + -5) = 39 Reorder the terms: (5 + x)(x + -5) = 39 Reorder the terms: (5 + x)(-5 + x) = 39 Multiply (5 + x) * (-5 + x) (5(-5 + x) + x(-5 + x)) = 39 ((-5 * 5 + x * 5) + x(-5 + x)) = 39 ((-25 + 5x) + x(-5 + x)) = 39 (-25 + 5x + (-5 * x + x * x)) = 39 (-25 + 5x + (-5x + x2)) = 39 Combine like terms: 5x + -5x = 0 (-25 + 0 + x2) = 39 (-25 + x2) = 39 Solving -25 + x2 = 39 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 + x2 = 39 + 25 Combine like terms: -25 + 25 = 0 0 + x2 = 39 + 25 x2 = 39 + 25 Combine like terms: 39 + 25 = 64 x2 = 64 Simplifying x2 = 64 Take the square root of each side: x = {-8, 8}
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