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Simplifying (x + 13)(x + -13) = x2 + -169 Reorder the terms: (13 + x)(x + -13) = x2 + -169 Reorder the terms: (13 + x)(-13 + x) = x2 + -169 Multiply (13 + x) * (-13 + x) (13(-13 + x) + x(-13 + x)) = x2 + -169 ((-13 * 13 + x * 13) + x(-13 + x)) = x2 + -169 ((-169 + 13x) + x(-13 + x)) = x2 + -169 (-169 + 13x + (-13 * x + x * x)) = x2 + -169 (-169 + 13x + (-13x + x2)) = x2 + -169 Combine like terms: 13x + -13x = 0 (-169 + 0 + x2) = x2 + -169 (-169 + x2) = x2 + -169 Reorder the terms: -169 + x2 = -169 + x2 Add '169' to each side of the equation. -169 + 169 + x2 = -169 + 169 + x2 Combine like terms: -169 + 169 = 0 0 + x2 = -169 + 169 + x2 x2 = -169 + 169 + x2 Combine like terms: -169 + 169 = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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