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Simplifying (x + 5)(x + 10) = 0 Reorder the terms: (5 + x)(x + 10) = 0 Reorder the terms: (5 + x)(10 + x) = 0 Multiply (5 + x) * (10 + x) (5(10 + x) + x(10 + x)) = 0 ((10 * 5 + x * 5) + x(10 + x)) = 0 ((50 + 5x) + x(10 + x)) = 0 (50 + 5x + (10 * x + x * x)) = 0 (50 + 5x + (10x + x2)) = 0 Combine like terms: 5x + 10x = 15x (50 + 15x + x2) = 0 Solving 50 + 15x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-10, -5}
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