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Simplifying 6y2 = y + 35 Reorder the terms: 6y2 = 35 + y Solving 6y2 = 35 + y Solving for variable 'y'. Reorder the terms: -35 + -1y + 6y2 = 35 + y + -35 + -1y Reorder the terms: -35 + -1y + 6y2 = 35 + -35 + y + -1y Combine like terms: 35 + -35 = 0 -35 + -1y + 6y2 = 0 + y + -1y -35 + -1y + 6y2 = y + -1y Combine like terms: y + -1y = 0 -35 + -1y + 6y2 = 0 Factor a trinomial. (-7 + -3y)(5 + -2y) = 0Subproblem 1
Set the factor '(-7 + -3y)' equal to zero and attempt to solve: Simplifying -7 + -3y = 0 Solving -7 + -3y = 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 + -3y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3y = 0 + 7 -3y = 0 + 7 Combine like terms: 0 + 7 = 7 -3y = 7 Divide each side by '-3'. y = -2.333333333 Simplifying y = -2.333333333Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {-2.333333333, 2.5}
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