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Simplifying X2 + 40X + -176 = 0 Reorder the terms: -176 + 40X + X2 = 0 Solving -176 + 40X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-44 + -1X)(4 + -1X) = 0Subproblem 1
Set the factor '(-44 + -1X)' equal to zero and attempt to solve: Simplifying -44 + -1X = 0 Solving -44 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -1X = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -1X = 0 + 44 -1X = 0 + 44 Combine like terms: 0 + 44 = 44 -1X = 44 Divide each side by '-1'. X = -44 Simplifying X = -44Subproblem 2
Set the factor '(4 + -1X)' equal to zero and attempt to solve: Simplifying 4 + -1X = 0 Solving 4 + -1X = 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 + -1X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X = 0 + -4 -1X = 0 + -4 Combine like terms: 0 + -4 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4Solution
X = {-44, 4}
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