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Simplifying 2y2 + -6y + 7 + -7y2 + -6y + 2 = 0 Reorder the terms: 7 + 2 + -6y + -6y + 2y2 + -7y2 = 0 Combine like terms: 7 + 2 = 9 9 + -6y + -6y + 2y2 + -7y2 = 0 Combine like terms: -6y + -6y = -12y 9 + -12y + 2y2 + -7y2 = 0 Combine like terms: 2y2 + -7y2 = -5y2 9 + -12y + -5y2 = 0 Solving 9 + -12y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -5y)(3 + y) = 0Subproblem 1
Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 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 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {0.6, -3}
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