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Simplifying (x + 8)(x + -3) = -30 Reorder the terms: (8 + x)(x + -3) = -30 Reorder the terms: (8 + x)(-3 + x) = -30 Multiply (8 + x) * (-3 + x) (8(-3 + x) + x(-3 + x)) = -30 ((-3 * 8 + x * 8) + x(-3 + x)) = -30 ((-24 + 8x) + x(-3 + x)) = -30 (-24 + 8x + (-3 * x + x * x)) = -30 (-24 + 8x + (-3x + x2)) = -30 Combine like terms: 8x + -3x = 5x (-24 + 5x + x2) = -30 Solving -24 + 5x + x2 = -30 Solving for variable 'x'. Reorder the terms: -24 + 30 + 5x + x2 = -30 + 30 Combine like terms: -24 + 30 = 6 6 + 5x + x2 = -30 + 30 Combine like terms: -30 + 30 = 0 6 + 5x + x2 = 0 Factor a trinomial. (3 + x)(2 + x) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-3, -2}
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