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Simplifying (x + 11)(x + -11) = 0 Reorder the terms: (11 + x)(x + -11) = 0 Reorder the terms: (11 + x)(-11 + x) = 0 Multiply (11 + x) * (-11 + x) (11(-11 + x) + x(-11 + x)) = 0 ((-11 * 11 + x * 11) + x(-11 + x)) = 0 ((-121 + 11x) + x(-11 + x)) = 0 (-121 + 11x + (-11 * x + x * x)) = 0 (-121 + 11x + (-11x + x2)) = 0 Combine like terms: 11x + -11x = 0 (-121 + 0 + x2) = 0 (-121 + x2) = 0 Solving -121 + x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '121' to each side of the equation. -121 + 121 + x2 = 0 + 121 Combine like terms: -121 + 121 = 0 0 + x2 = 0 + 121 x2 = 0 + 121 Combine like terms: 0 + 121 = 121 x2 = 121 Simplifying x2 = 121 Take the square root of each side: x = {-11, 11}
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