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Simplifying 15X2 + -61X + 60 = 0 Reorder the terms: 60 + -61X + 15X2 = 0 Solving 60 + -61X + 15X2 = 0 Solving for variable 'X'. Factor a trinomial. (5 + -3X)(12 + -5X) = 0Subproblem 1
Set the factor '(5 + -3X)' equal to zero and attempt to solve: Simplifying 5 + -3X = 0 Solving 5 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3X = 0 + -5 -3X = 0 + -5 Combine like terms: 0 + -5 = -5 -3X = -5 Divide each side by '-3'. X = 1.666666667 Simplifying X = 1.666666667Subproblem 2
Set the factor '(12 + -5X)' equal to zero and attempt to solve: Simplifying 12 + -5X = 0 Solving 12 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5X = 0 + -12 -5X = 0 + -12 Combine like terms: 0 + -12 = -12 -5X = -12 Divide each side by '-5'. X = 2.4 Simplifying X = 2.4Solution
X = {1.666666667, 2.4}
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