6y(6y)-4y+3y-2=0

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Solution for 6y(6y)-4y+3y-2=0 equation: 


Simplifying
6y(6y) + -4y + 3y + -2 = 0

Remove parenthesis around (6y)
6y * 6y + -4y + 3y + -2 = 0

Reorder the terms for easier multiplication:
6 * 6y * y + -4y + 3y + -2 = 0

Multiply 6 * 6
36y * y + -4y + 3y + -2 = 0

Multiply y * y
36y2 + -4y + 3y + -2 = 0

Reorder the terms:
-2 + -4y + 3y + 36y2 = 0

Combine like terms: -4y + 3y = -1y
-2 + -1y + 36y2 = 0

Solving
-2 + -1y + 36y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -9y)(1 + -4y) = 0


Subproblem 1
Set the factor '(-2 + -9y)' equal to zero and attempt to solve:

Simplifying
-2 + -9y = 0

Solving
-2 + -9y = 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 + -9y = 0 + 2

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

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

Divide each side by '-9'.
y = -0.2222222222

Simplifying
y = -0.2222222222

Subproblem 2
Set the factor '(1 + -4y)' equal to zero and attempt to solve:

Simplifying
1 + -4y = 0

Solving
1 + -4y = 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 + -4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4y = 0 + -1
-4y = 0 + -1

Combine like terms: 0 + -1 = -1
-4y = -1

Divide each side by '-4'.
y = 0.25

Simplifying
y = 0.25
Solution
y = {-0.2222222222, 0.25}

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