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Simplifying X2 + 6X + -16 = 39 Reorder the terms: -16 + 6X + X2 = 39 Solving -16 + 6X + X2 = 39 Solving for variable 'X'. Reorder the terms: -16 + -39 + 6X + X2 = 39 + -39 Combine like terms: -16 + -39 = -55 -55 + 6X + X2 = 39 + -39 Combine like terms: 39 + -39 = 0 -55 + 6X + X2 = 0 Factor a trinomial. (-11 + -1X)(5 + -1X) = 0Subproblem 1
Set the factor '(-11 + -1X)' equal to zero and attempt to solve: Simplifying -11 + -1X = 0 Solving -11 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1X = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1X = 0 + 11 -1X = 0 + 11 Combine like terms: 0 + 11 = 11 -1X = 11 Divide each side by '-1'. X = -11 Simplifying X = -11Subproblem 2
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 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 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Solution
X = {-11, 5}
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