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Simplifying 8Y2 + -22Y + 14 = 0 Reorder the terms: 14 + -22Y + 8Y2 = 0 Solving 14 + -22Y + 8Y2 = 0 Solving for variable 'Y'. Factor out the Greatest Common Factor (GCF), '2'. 2(7 + -11Y + 4Y2) = 0 Factor a trinomial. 2((1 + -1Y)(7 + -4Y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1Y)' equal to zero and attempt to solve: Simplifying 1 + -1Y = 0 Solving 1 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1Y = 0 + -1 -1Y = 0 + -1 Combine like terms: 0 + -1 = -1 -1Y = -1 Divide each side by '-1'. Y = 1 Simplifying Y = 1Subproblem 2
Set the factor '(7 + -4Y)' equal to zero and attempt to solve: Simplifying 7 + -4Y = 0 Solving 7 + -4Y = 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 + -4Y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4Y = 0 + -7 -4Y = 0 + -7 Combine like terms: 0 + -7 = -7 -4Y = -7 Divide each side by '-4'. Y = 1.75 Simplifying Y = 1.75Solution
Y = {1, 1.75}
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