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Simplifying (10 + x)(3 + x) = 0 Multiply (10 + x) * (3 + x) (10(3 + x) + x(3 + x)) = 0 ((3 * 10 + x * 10) + x(3 + x)) = 0 ((30 + 10x) + x(3 + x)) = 0 (30 + 10x + (3 * x + x * x)) = 0 (30 + 10x + (3x + x2)) = 0 Combine like terms: 10x + 3x = 13x (30 + 13x + x2) = 0 Solving 30 + 13x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + x)(3 + 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-10, -3}
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