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Simplifying 6y2 = -5y + 14 Reorder the terms: 6y2 = 14 + -5y Solving 6y2 = 14 + -5y Solving for variable 'y'. Reorder the terms: -14 + 5y + 6y2 = 14 + -5y + -14 + 5y Reorder the terms: -14 + 5y + 6y2 = 14 + -14 + -5y + 5y Combine like terms: 14 + -14 = 0 -14 + 5y + 6y2 = 0 + -5y + 5y -14 + 5y + 6y2 = -5y + 5y Combine like terms: -5y + 5y = 0 -14 + 5y + 6y2 = 0 Factor a trinomial. (-2 + -1y)(7 + -6y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 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 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(7 + -6y)' equal to zero and attempt to solve: Simplifying 7 + -6y = 0 Solving 7 + -6y = 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 + -6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6y = 0 + -7 -6y = 0 + -7 Combine like terms: 0 + -7 = -7 -6y = -7 Divide each side by '-6'. y = 1.166666667 Simplifying y = 1.166666667Solution
y = {-2, 1.166666667}
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