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Simplifying (x + 5)(x + -5) = x2 + 2x + -3 Reorder the terms: (5 + x)(x + -5) = x2 + 2x + -3 Reorder the terms: (5 + x)(-5 + x) = x2 + 2x + -3 Multiply (5 + x) * (-5 + x) (5(-5 + x) + x(-5 + x)) = x2 + 2x + -3 ((-5 * 5 + x * 5) + x(-5 + x)) = x2 + 2x + -3 ((-25 + 5x) + x(-5 + x)) = x2 + 2x + -3 (-25 + 5x + (-5 * x + x * x)) = x2 + 2x + -3 (-25 + 5x + (-5x + x2)) = x2 + 2x + -3 Combine like terms: 5x + -5x = 0 (-25 + 0 + x2) = x2 + 2x + -3 (-25 + x2) = x2 + 2x + -3 Reorder the terms: -25 + x2 = -3 + 2x + x2 Add '-1x2' to each side of the equation. -25 + x2 + -1x2 = -3 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -25 + 0 = -3 + 2x + x2 + -1x2 -25 = -3 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -25 = -3 + 2x + 0 -25 = -3 + 2x Solving -25 = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -25 + -2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + -2x = -3 + 0 -25 + -2x = -3 Add '25' to each side of the equation. -25 + 25 + -2x = -3 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = -3 + 25 -2x = -3 + 25 Combine like terms: -3 + 25 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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