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Simplifying (x + -10)(x + -11) = 0 Reorder the terms: (-10 + x)(x + -11) = 0 Reorder the terms: (-10 + x)(-11 + x) = 0 Multiply (-10 + x) * (-11 + x) (-10(-11 + x) + x(-11 + x)) = 0 ((-11 * -10 + x * -10) + x(-11 + x)) = 0 ((110 + -10x) + x(-11 + x)) = 0 (110 + -10x + (-11 * x + x * x)) = 0 (110 + -10x + (-11x + x2)) = 0 Combine like terms: -10x + -11x = -21x (110 + -21x + x2) = 0 Solving 110 + -21x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -1x)(11 + -1x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 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 = {10, 11}
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