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Simplifying 80Y2 + -210Y + -245 = 0 Reorder the terms: -245 + -210Y + 80Y2 = 0 Solving -245 + -210Y + 80Y2 = 0 Solving for variable 'Y'. Factor out the Greatest Common Factor (GCF), '5'. 5(-49 + -42Y + 16Y2) = 0 Factor a trinomial. 5((-7 + -8Y)(7 + -2Y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-7 + -8Y)' equal to zero and attempt to solve: Simplifying -7 + -8Y = 0 Solving -7 + -8Y = 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 + -8Y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8Y = 0 + 7 -8Y = 0 + 7 Combine like terms: 0 + 7 = 7 -8Y = 7 Divide each side by '-8'. Y = -0.875 Simplifying Y = -0.875Subproblem 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 = {-0.875, 3.5}
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