15v^2+17v-42=0

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

Simplifying
15v2 + 17v + -42 = 0

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

Solving
-42 + 17v + 15v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-7 + -3v = 0

Solving
-7 + -3v = 0

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

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

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

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

Divide each side by '-3'.
v = -2.333333333

Simplifying
v = -2.333333333
Subproblem 2
Set the factor '(6 + -5v)' equal to zero and attempt to solve:

Simplifying
6 + -5v = 0

Solving
6 + -5v = 0

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

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

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

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

Divide each side by '-5'.
v = 1.2

Simplifying
v = 1.2
Solution
v = {-2.333333333, 1.2}