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Simplifying X2 + -1X * 5 + -176 = 0 Reorder the terms for easier multiplication: X2 + -1 * 5X + -176 = 0 Multiply -1 * 5 X2 + -5X + -176 = 0 Reorder the terms: -176 + -5X + X2 = 0 Solving -176 + -5X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-11 + -1X)(16 + -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 '(16 + -1X)' equal to zero and attempt to solve: Simplifying 16 + -1X = 0 Solving 16 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1X = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1X = 0 + -16 -1X = 0 + -16 Combine like terms: 0 + -16 = -16 -1X = -16 Divide each side by '-1'. X = 16 Simplifying X = 16Solution
X = {-11, 16}
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