35y^2-54+33y=0

Solution for 35y^2-54+33y=0 equation:

Simplifying
35y2 + -54 + 33y = 0

Reorder the terms:
-54 + 33y + 35y2 = 0

Solving
-54 + 33y + 35y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-9 + -5y)(6 + -7y) = 0

Subproblem 1
Set the factor '(-9 + -5y)' equal to zero and attempt to solve:

Simplifying
-9 + -5y = 0

Solving
-9 + -5y = 0

Move all terms containing y to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -5y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5y = 0 + 9
-5y = 0 + 9

Combine like terms: 0 + 9 = 9
-5y = 9

Divide each side by '-5'.
y = -1.8

Simplifying
y = -1.8
Subproblem 2
Set the factor '(6 + -7y)' equal to zero and attempt to solve:

Simplifying
6 + -7y = 0

Solving
6 + -7y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = 0 + -6
-7y = 0 + -6

Combine like terms: 0 + -6 = -6
-7y = -6

Divide each side by '-7'.
y = 0.8571428571

Simplifying
y = 0.8571428571
Solution
y = {-1.8, 0.8571428571}