42v^2-17v-15=0

Solution for 42v^2-17v-15=0 equation:

Simplifying
42v2 + -17v + -15 = 0

Reorder the terms:
-15 + -17v + 42v2 = 0

Solving
-15 + -17v + 42v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -7v)(5 + -6v) = 0

Subproblem 1
Set the factor '(-3 + -7v)' equal to zero and attempt to solve:

Simplifying
-3 + -7v = 0

Solving
-3 + -7v = 0

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

Add '3' to each side of the equation.
-3 + 3 + -7v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7v = 0 + 3
-7v = 0 + 3

Combine like terms: 0 + 3 = 3
-7v = 3

Divide each side by '-7'.
v = -0.4285714286

Simplifying
v = -0.4285714286
Subproblem 2
Set the factor '(5 + -6v)' equal to zero and attempt to solve:

Simplifying
5 + -6v = 0

Solving
5 + -6v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6v = 0 + -5
-6v = 0 + -5

Combine like terms: 0 + -5 = -5
-6v = -5

Divide each side by '-6'.
v = 0.8333333333

Simplifying
v = 0.8333333333
Solution
v = {-0.4285714286, 0.8333333333}