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Simplifying 3y2 = -8y + 35 Reorder the terms: 3y2 = 35 + -8y Solving 3y2 = 35 + -8y Solving for variable 'y'. Reorder the terms: -35 + 8y + 3y2 = 35 + -8y + -35 + 8y Reorder the terms: -35 + 8y + 3y2 = 35 + -35 + -8y + 8y Combine like terms: 35 + -35 = 0 -35 + 8y + 3y2 = 0 + -8y + 8y -35 + 8y + 3y2 = -8y + 8y Combine like terms: -8y + 8y = 0 -35 + 8y + 3y2 = 0 Factor a trinomial. (-5 + -1y)(7 + -3y) = 0Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 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 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5Subproblem 2
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 = 2.333333333Solution
y = {-5, 2.333333333}
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