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Simplifying (x + 10)(x + 2) = 0 Reorder the terms: (10 + x)(x + 2) = 0 Reorder the terms: (10 + x)(2 + x) = 0 Multiply (10 + x) * (2 + x) (10(2 + x) + x(2 + x)) = 0 ((2 * 10 + x * 10) + x(2 + x)) = 0 ((20 + 10x) + x(2 + x)) = 0 (20 + 10x + (2 * x + x * x)) = 0 (20 + 10x + (2x + x2)) = 0 Combine like terms: 10x + 2x = 12x (20 + 12x + x2) = 0 Solving 20 + 12x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + x)(2 + x) = 0Subproblem 1
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 = -10Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-10, -2}
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