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Simplifying 3y2 = 13y + -10 Reorder the terms: 3y2 = -10 + 13y Solving 3y2 = -10 + 13y Solving for variable 'y'. Reorder the terms: 10 + -13y + 3y2 = -10 + 13y + 10 + -13y Reorder the terms: 10 + -13y + 3y2 = -10 + 10 + 13y + -13y Combine like terms: -10 + 10 = 0 10 + -13y + 3y2 = 0 + 13y + -13y 10 + -13y + 3y2 = 13y + -13y Combine like terms: 13y + -13y = 0 10 + -13y + 3y2 = 0 Factor a trinomial. (1 + -1y)(10 + -3y) = 0Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 2
Set the factor '(10 + -3y)' equal to zero and attempt to solve: Simplifying 10 + -3y = 0 Solving 10 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = 0 + -10 -3y = 0 + -10 Combine like terms: 0 + -10 = -10 -3y = -10 Divide each side by '-3'. y = 3.333333333 Simplifying y = 3.333333333Solution
y = {1, 3.333333333}
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