3y^2-51y+90=

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Solution for 3y^2-51y+90= equation:


Simplifying
3y2 + -51y + 90 = 0

Reorder the terms:
90 + -51y + 3y2 = 0

Solving
90 + -51y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(30 + -17y + y2) = 0

Factor a trinomial.
3((2 + -1y)(15 + -1y)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Subproblem 2

Set the factor '(15 + -1y)' equal to zero and attempt to solve: Simplifying 15 + -1y = 0 Solving 15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = 0 + -15 -1y = 0 + -15 Combine like terms: 0 + -15 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15

Solution

y = {2, 15}

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