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Simplifying 15X2 + -14X + 3 = 0 Reorder the terms: 3 + -14X + 15X2 = 0 Solving 3 + -14X + 15X2 = 0 Solving for variable 'X'. Factor a trinomial. (1 + -3X)(3 + -5X) = 0Subproblem 1
Set the factor '(1 + -3X)' equal to zero and attempt to solve: Simplifying 1 + -3X = 0 Solving 1 + -3X = 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 + -3X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3X = 0 + -1 -3X = 0 + -1 Combine like terms: 0 + -1 = -1 -3X = -1 Divide each side by '-3'. X = 0.3333333333 Simplifying X = 0.3333333333Subproblem 2
Set the factor '(3 + -5X)' equal to zero and attempt to solve: Simplifying 3 + -5X = 0 Solving 3 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5X = 0 + -3 -5X = 0 + -3 Combine like terms: 0 + -3 = -3 -5X = -3 Divide each side by '-5'. X = 0.6 Simplifying X = 0.6Solution
X = {0.3333333333, 0.6}
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