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Simplifying X(5X + -36) + 31 = 0 Reorder the terms: X(-36 + 5X) + 31 = 0 (-36 * X + 5X * X) + 31 = 0 (-36X + 5X2) + 31 = 0 Reorder the terms: 31 + -36X + 5X2 = 0 Solving 31 + -36X + 5X2 = 0 Solving for variable 'X'. Factor a trinomial. (1 + -1X)(31 + -5X) = 0Subproblem 1
Set the factor '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Subproblem 2
Set the factor '(31 + -5X)' equal to zero and attempt to solve: Simplifying 31 + -5X = 0 Solving 31 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -5X = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -5X = 0 + -31 -5X = 0 + -31 Combine like terms: 0 + -31 = -31 -5X = -31 Divide each side by '-5'. X = 6.2 Simplifying X = 6.2Solution
X = {1, 6.2}
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