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Simplifying 0 = 7y2 + -17y + 6 Reorder the terms: 0 = 6 + -17y + 7y2 Solving 0 = 6 + -17y + 7y2 Solving for variable 'y'. Combine like terms: 0 + -6 = -6 -6 + 17y + -7y2 = 6 + -17y + 7y2 + -6 + 17y + -7y2 Reorder the terms: -6 + 17y + -7y2 = 6 + -6 + -17y + 17y + 7y2 + -7y2 Combine like terms: 6 + -6 = 0 -6 + 17y + -7y2 = 0 + -17y + 17y + 7y2 + -7y2 -6 + 17y + -7y2 = -17y + 17y + 7y2 + -7y2 Combine like terms: -17y + 17y = 0 -6 + 17y + -7y2 = 0 + 7y2 + -7y2 -6 + 17y + -7y2 = 7y2 + -7y2 Combine like terms: 7y2 + -7y2 = 0 -6 + 17y + -7y2 = 0 Factor a trinomial. (-2 + y)(3 + -7y) = 0Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Subproblem 2
Set the factor '(3 + -7y)' equal to zero and attempt to solve: Simplifying 3 + -7y = 0 Solving 3 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7y = 0 + -3 -7y = 0 + -3 Combine like terms: 0 + -3 = -3 -7y = -3 Divide each side by '-7'. y = 0.4285714286 Simplifying y = 0.4285714286Solution
y = {2, 0.4285714286}
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