15v^2+23v-28=0

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Solution for 15v^2+23v-28=0 equation: 


Simplifying
15v2 + 23v + -28 = 0

Reorder the terms:
-28 + 23v + 15v2 = 0

Solving
-28 + 23v + 15v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -3v)(4 + -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 '(4 + -5v)' equal to zero and attempt to solve:

Simplifying
4 + -5v = 0

Solving
4 + -5v = 0

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

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

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

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

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

Simplifying
v = 0.8
Solution
v = {-2.333333333, 0.8}

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