9y^2-6y+135=0

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Solution for 9y^2-6y+135=0 equation:


Simplifying
9y2 + -6y + 135 = 0

Reorder the terms:
135 + -6y + 9y2 = 0

Solving
135 + -6y + 9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(45 + -2y + 3y2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(45 + -2y + 3y2)' equal to zero and attempt to solve: Simplifying 45 + -2y + 3y2 = 0 Solving 45 + -2y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 15 + -0.6666666667y + y2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -0.6666666667y + -15 + y2 = 0 + -15 Reorder the terms: 15 + -15 + -0.6666666667y + y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -0.6666666667y + y2 = 0 + -15 -0.6666666667y + y2 = 0 + -15 Combine like terms: 0 + -15 = -15 -0.6666666667y + y2 = -15 The y term is -0.6666666667y. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667y + 0.1111111112 + y2 = -15 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667y + y2 = -15 + 0.1111111112 Combine like terms: -15 + 0.1111111112 = -14.8888888888 0.1111111112 + -0.6666666667y + y2 = -14.8888888888 Factor a perfect square on the left side: (y + -0.3333333334)(y + -0.3333333334) = -14.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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