8y^2+43y-30=

Solution for 8y^2+43y-30= equation:

Simplifying
8y2 + 43y + -30 = 0

Reorder the terms:
-30 + 43y + 8y2 = 0

Solving
-30 + 43y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -1y)(5 + -8y) = 0

Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve:

Simplifying
-6 + -1y = 0

Solving
-6 + -1y = 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 + -1y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = 0 + 6
-1y = 0 + 6

Combine like terms: 0 + 6 = 6
-1y = 6

Divide each side by '-1'.
y = -6

Simplifying
y = -6
Subproblem 2
Set the factor '(5 + -8y)' equal to zero and attempt to solve:

Simplifying
5 + -8y = 0

Solving
5 + -8y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8y = 0 + -5
-8y = 0 + -5

Combine like terms: 0 + -5 = -5
-8y = -5

Divide each side by '-8'.
y = 0.625

Simplifying
y = 0.625
Solution
y = {-6, 0.625}