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Simplifying (x + 10)(x + 20) = 0 Reorder the terms: (10 + x)(x + 20) = 0 Reorder the terms: (10 + x)(20 + x) = 0 Multiply (10 + x) * (20 + x) (10(20 + x) + x(20 + x)) = 0 ((20 * 10 + x * 10) + x(20 + x)) = 0 ((200 + 10x) + x(20 + x)) = 0 (200 + 10x + (20 * x + x * x)) = 0 (200 + 10x + (20x + x2)) = 0 Combine like terms: 10x + 20x = 30x (200 + 30x + x2) = 0 Solving 200 + 30x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (20 + x)(10 + x) = 0Subproblem 1
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Subproblem 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 = {-20, -10}
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