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Simplifying (1x + 1)(1x + 30) = 0 Reorder the terms: (1 + 1x)(1x + 30) = 0 Reorder the terms: (1 + 1x)(30 + 1x) = 0 Multiply (1 + 1x) * (30 + 1x) (1(30 + 1x) + 1x * (30 + 1x)) = 0 ((30 * 1 + 1x * 1) + 1x * (30 + 1x)) = 0 ((30 + 1x) + 1x * (30 + 1x)) = 0 (30 + 1x + (30 * 1x + 1x * 1x)) = 0 (30 + 1x + (30x + 1x2)) = 0 Combine like terms: 1x + 30x = 31x (30 + 31x + 1x2) = 0 Solving 30 + 31x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (30 + x)(1 + x) = 0Subproblem 1
Set the factor '(30 + x)' equal to zero and attempt to solve: Simplifying 30 + x = 0 Solving 30 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x = 0 + -30 x = 0 + -30 Combine like terms: 0 + -30 = -30 x = -30 Simplifying x = -30Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-30, -1}
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