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Simplifying 3y2 = -13y + 30 Reorder the terms: 3y2 = 30 + -13y Solving 3y2 = 30 + -13y Solving for variable 'y'. Reorder the terms: -30 + 13y + 3y2 = 30 + -13y + -30 + 13y Reorder the terms: -30 + 13y + 3y2 = 30 + -30 + -13y + 13y Combine like terms: 30 + -30 = 0 -30 + 13y + 3y2 = 0 + -13y + 13y -30 + 13y + 3y2 = -13y + 13y Combine like terms: -13y + 13y = 0 -30 + 13y + 3y2 = 0 Factor a trinomial. (-6 + -1y)(5 + -3y) = 0Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 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 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {-6, 1.666666667}
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