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Simplifying X2 + 3X + 5X = -15 Reorder the terms: 3X + 5X + X2 = -15 Combine like terms: 3X + 5X = 8X 8X + X2 = -15 Solving 8X + X2 = -15 Solving for variable 'X'. Reorder the terms: 15 + 8X + X2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 8X + X2 = 0 Factor a trinomial. (5 + X)(3 + 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 '(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 = -3Solution
X = {-5, -3}
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