9y^2+2=9y

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Solution for 9y^2+2=9y equation:


Simplifying
9y2 + 2 = 9y

Reorder the terms:
2 + 9y2 = 9y

Solving
2 + 9y2 = 9y

Solving for variable 'y'.

Reorder the terms:
2 + -9y + 9y2 = 9y + -9y

Combine like terms: 9y + -9y = 0
2 + -9y + 9y2 = 0

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

Subproblem 1

Set the factor '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 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 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333

Subproblem 2

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

Solution

y = {0.3333333333, 0.6666666667}

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