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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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