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Simplifying 3y2 + -62y + 315 = 0 Reorder the terms: 315 + -62y + 3y2 = 0 Solving 315 + -62y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + -1y)(35 + -3y) = 0Subproblem 1
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Subproblem 2
Set the factor '(35 + -3y)' equal to zero and attempt to solve: Simplifying 35 + -3y = 0 Solving 35 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -3y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -3y = 0 + -35 -3y = 0 + -35 Combine like terms: 0 + -35 = -35 -3y = -35 Divide each side by '-3'. y = 11.66666667 Simplifying y = 11.66666667Solution
y = {9, 11.66666667}
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