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Simplifying (x + -1)(x + 10) + 30 = 0 Reorder the terms: (-1 + x)(x + 10) + 30 = 0 Reorder the terms: (-1 + x)(10 + x) + 30 = 0 Multiply (-1 + x) * (10 + x) (-1(10 + x) + x(10 + x)) + 30 = 0 ((10 * -1 + x * -1) + x(10 + x)) + 30 = 0 ((-10 + -1x) + x(10 + x)) + 30 = 0 (-10 + -1x + (10 * x + x * x)) + 30 = 0 (-10 + -1x + (10x + x2)) + 30 = 0 Combine like terms: -1x + 10x = 9x (-10 + 9x + x2) + 30 = 0 Reorder the terms: -10 + 30 + 9x + x2 = 0 Combine like terms: -10 + 30 = 20 20 + 9x + x2 = 0 Solving 20 + 9x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x)(4 + x) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-5, -4}
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