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Simplifying 24Y2 + -94Y + 35 = 0 Reorder the terms: 35 + -94Y + 24Y2 = 0 Solving 35 + -94Y + 24Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (5 + -12Y)(7 + -2Y) = 0Subproblem 1
Set the factor '(5 + -12Y)' equal to zero and attempt to solve: Simplifying 5 + -12Y = 0 Solving 5 + -12Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -12Y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12Y = 0 + -5 -12Y = 0 + -5 Combine like terms: 0 + -5 = -5 -12Y = -5 Divide each side by '-12'. Y = 0.4166666667 Simplifying Y = 0.4166666667Subproblem 2
Set the factor '(7 + -2Y)' equal to zero and attempt to solve: Simplifying 7 + -2Y = 0 Solving 7 + -2Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2Y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2Y = 0 + -7 -2Y = 0 + -7 Combine like terms: 0 + -7 = -7 -2Y = -7 Divide each side by '-2'. Y = 3.5 Simplifying Y = 3.5Solution
Y = {0.4166666667, 3.5}
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