35y^2+2y-24=0

Solution for 35y^2+2y-24=0 equation:

Simplifying
35y2 + 2y + -24 = 0

Reorder the terms:
-24 + 2y + 35y2 = 0

Solving
-24 + 2y + 35y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -7y)(4 + -5y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve:

Simplifying
4 + -5y = 0

Solving
4 + -5y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = 0 + -4
-5y = 0 + -4

Combine like terms: 0 + -4 = -4
-5y = -4

Divide each side by '-5'.
y = 0.8

Simplifying
y = 0.8
Solution
y = {-0.8571428571, 0.8}