9y^2+18-12=6y

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Solution for 9y^2+18-12=6y equation:


Simplifying
9y2 + 18 + -12 = 6y

Reorder the terms:
18 + -12 + 9y2 = 6y

Combine like terms: 18 + -12 = 6
6 + 9y2 = 6y

Solving
6 + 9y2 = 6y

Solving for variable 'y'.

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

Combine like terms: 6y + -6y = 0
6 + -6y + 9y2 = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(2 + -2y + 3y2)' equal to zero and attempt to solve: Simplifying 2 + -2y + 3y2 = 0 Solving 2 + -2y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.6666666667 + -0.6666666667y + y2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -0.6666666667y + -0.6666666667 + y2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -0.6666666667y + y2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -0.6666666667y + y2 = 0 + -0.6666666667 -0.6666666667y + y2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -0.6666666667y + y2 = -0.6666666667 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 = -0.6666666667 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667y + y2 = -0.6666666667 + 0.1111111112 Combine like terms: -0.6666666667 + 0.1111111112 = -0.5555555555 0.1111111112 + -0.6666666667y + y2 = -0.5555555555 Factor a perfect square on the left side: (y + -0.3333333334)(y + -0.3333333334) = -0.5555555555 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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