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Simplifying (x + 10)(x + 12) = 0 Reorder the terms: (10 + x)(x + 12) = 0 Reorder the terms: (10 + x)(12 + x) = 0 Multiply (10 + x) * (12 + x) (10(12 + x) + x(12 + x)) = 0 ((12 * 10 + x * 10) + x(12 + x)) = 0 ((120 + 10x) + x(12 + x)) = 0 (120 + 10x + (12 * x + x * x)) = 0 (120 + 10x + (12x + x2)) = 0 Combine like terms: 10x + 12x = 22x (120 + 22x + x2) = 0 Solving 120 + 22x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + x)(10 + x) = 0Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {-12, -10}
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