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Simplifying (x + 40)(x + 100) = 0 Reorder the terms: (40 + x)(x + 100) = 0 Reorder the terms: (40 + x)(100 + x) = 0 Multiply (40 + x) * (100 + x) (40(100 + x) + x(100 + x)) = 0 ((100 * 40 + x * 40) + x(100 + x)) = 0 ((4000 + 40x) + x(100 + x)) = 0 (4000 + 40x + (100 * x + x * x)) = 0 (4000 + 40x + (100x + x2)) = 0 Combine like terms: 40x + 100x = 140x (4000 + 140x + x2) = 0 Solving 4000 + 140x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (100 + x)(40 + x) = 0Subproblem 1
Set the factor '(100 + x)' equal to zero and attempt to solve: Simplifying 100 + x = 0 Solving 100 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + x = 0 + -100 x = 0 + -100 Combine like terms: 0 + -100 = -100 x = -100 Simplifying x = -100Subproblem 2
Set the factor '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Simplifying x = -40Solution
x = {-100, -40}
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