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Simplifying 13y2 + -59y = 30 Reorder the terms: -59y + 13y2 = 30 Solving -59y + 13y2 = 30 Solving for variable 'y'. Reorder the terms: -30 + -59y + 13y2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -59y + 13y2 = 0 Factor a trinomial. (-6 + -13y)(5 + -1y) = 0Subproblem 1
Set the factor '(-6 + -13y)' equal to zero and attempt to solve: Simplifying -6 + -13y = 0 Solving -6 + -13y = 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 + -13y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -13y = 0 + 6 -13y = 0 + 6 Combine like terms: 0 + 6 = 6 -13y = 6 Divide each side by '-13'. y = -0.4615384615 Simplifying y = -0.4615384615Subproblem 2
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 = 5Solution
y = {-0.4615384615, 5}
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