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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 = -22x (121 + -22x + x2) = 0 Solving 121 + -22x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + -1x)(11 + -1x) = 0Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {11, 11}
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