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Simplifying X(3X + -1) = 310 Reorder the terms: X(-1 + 3X) = 310 (-1 * X + 3X * X) = 310 (-1X + 3X2) = 310 Solving -1X + 3X2 = 310 Solving for variable 'X'. Reorder the terms: -310 + -1X + 3X2 = 310 + -310 Combine like terms: 310 + -310 = 0 -310 + -1X + 3X2 = 0 Factor a trinomial. (-10 + -1X)(31 + -3X) = 0Subproblem 1
Set the factor '(-10 + -1X)' equal to zero and attempt to solve: Simplifying -10 + -1X = 0 Solving -10 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1X = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1X = 0 + 10 -1X = 0 + 10 Combine like terms: 0 + 10 = 10 -1X = 10 Divide each side by '-1'. X = -10 Simplifying X = -10Subproblem 2
Set the factor '(31 + -3X)' equal to zero and attempt to solve: Simplifying 31 + -3X = 0 Solving 31 + -3X = 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 + -3X = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -3X = 0 + -31 -3X = 0 + -31 Combine like terms: 0 + -31 = -31 -3X = -31 Divide each side by '-3'. X = 10.33333333 Simplifying X = 10.33333333Solution
X = {-10, 10.33333333}
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