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Simplifying 3X2 + -152X + 100 = 0 Reorder the terms: 100 + -152X + 3X2 = 0 Solving 100 + -152X + 3X2 = 0 Solving for variable 'X'. Factor a trinomial. (2 + -3X)(50 + -1X) = 0Subproblem 1
Set the factor '(2 + -3X)' equal to zero and attempt to solve: Simplifying 2 + -3X = 0 Solving 2 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3X = 0 + -2 -3X = 0 + -2 Combine like terms: 0 + -2 = -2 -3X = -2 Divide each side by '-3'. X = 0.6666666667 Simplifying X = 0.6666666667Subproblem 2
Set the factor '(50 + -1X)' equal to zero and attempt to solve: Simplifying 50 + -1X = 0 Solving 50 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1X = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1X = 0 + -50 -1X = 0 + -50 Combine like terms: 0 + -50 = -50 -1X = -50 Divide each side by '-1'. X = 50 Simplifying X = 50Solution
X = {0.6666666667, 50}
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