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Simplifying 17y2 + -7y + -8 = 2 Reorder the terms: -8 + -7y + 17y2 = 2 Solving -8 + -7y + 17y2 = 2 Solving for variable 'y'. Reorder the terms: -8 + -2 + -7y + 17y2 = 2 + -2 Combine like terms: -8 + -2 = -10 -10 + -7y + 17y2 = 2 + -2 Combine like terms: 2 + -2 = 0 -10 + -7y + 17y2 = 0 Factor a trinomial. (-10 + -17y)(1 + -1y) = 0Subproblem 1
Set the factor '(-10 + -17y)' equal to zero and attempt to solve: Simplifying -10 + -17y = 0 Solving -10 + -17y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -17y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -17y = 0 + 10 -17y = 0 + 10 Combine like terms: 0 + 10 = 10 -17y = 10 Divide each side by '-17'. y = -0.5882352941 Simplifying y = -0.5882352941Subproblem 2
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 = 1Solution
y = {-0.5882352941, 1}
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