3y^2-25y-18=0

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Solution for 3y^2-25y-18=0 equation:


Simplifying
3y2 + -25y + -18 = 0

Reorder the terms:
-18 + -25y + 3y2 = 0

Solving
-18 + -25y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -3y)(9 + -1y) = 0

Subproblem 1

Set the factor '(-2 + -3y)' equal to zero and attempt to solve: Simplifying -2 + -3y = 0 Solving -2 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 0 + 2 -3y = 0 + 2 Combine like terms: 0 + 2 = 2 -3y = 2 Divide each side by '-3'. y = -0.6666666667 Simplifying y = -0.6666666667

Subproblem 2

Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9

Solution

y = {-0.6666666667, 9}

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