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Simplifying -18y2 + 51y = 8 Reorder the terms: 51y + -18y2 = 8 Solving 51y + -18y2 = 8 Solving for variable 'y'. Reorder the terms: -8 + 51y + -18y2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 51y + -18y2 = 0 Factor a trinomial. (-8 + 3y)(1 + -6y) = 0Subproblem 1
Set the factor '(-8 + 3y)' equal to zero and attempt to solve: Simplifying -8 + 3y = 0 Solving -8 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = 0 + 8 3y = 0 + 8 Combine like terms: 0 + 8 = 8 3y = 8 Divide each side by '3'. y = 2.666666667 Simplifying y = 2.666666667Subproblem 2
Set the factor '(1 + -6y)' equal to zero and attempt to solve: Simplifying 1 + -6y = 0 Solving 1 + -6y = 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 + -6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6y = 0 + -1 -6y = 0 + -1 Combine like terms: 0 + -1 = -1 -6y = -1 Divide each side by '-6'. y = 0.1666666667 Simplifying y = 0.1666666667Solution
y = {2.666666667, 0.1666666667}
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