(-7v^2+v-4)+(3v^2+2v+5)=

Solution for (-7v^2+v-4)+(3v^2+2v+5)= equation:

Simplifying
(-7v2 + v + -4) + (3v2 + 2v + 5) = 0

Reorder the terms:
(-4 + v + -7v2) + (3v2 + 2v + 5) = 0

Remove parenthesis around (-4 + v + -7v2)
-4 + v + -7v2 + (3v2 + 2v + 5) = 0

Reorder the terms:
-4 + v + -7v2 + (5 + 2v + 3v2) = 0

Remove parenthesis around (5 + 2v + 3v2)
-4 + v + -7v2 + 5 + 2v + 3v2 = 0

Reorder the terms:
-4 + 5 + v + 2v + -7v2 + 3v2 = 0

Combine like terms: -4 + 5 = 1
1 + v + 2v + -7v2 + 3v2 = 0

Combine like terms: v + 2v = 3v
1 + 3v + -7v2 + 3v2 = 0

Combine like terms: -7v2 + 3v2 = -4v2
1 + 3v + -4v2 = 0

Solving
1 + 3v + -4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -1v)(1 + 4v) = 0

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

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1v = 0 + -1
-1v = 0 + -1

Combine like terms: 0 + -1 = -1
-1v = -1

Divide each side by '-1'.
v = 1

Simplifying
v = 1
Subproblem 2
Set the factor '(1 + 4v)' equal to zero and attempt to solve:

Simplifying
1 + 4v = 0

Solving
1 + 4v = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4v = 0 + -1
4v = 0 + -1

Combine like terms: 0 + -1 = -1
4v = -1

Divide each side by '4'.
v = -0.25

Simplifying
v = -0.25
Solution
v = {1, -0.25}