5v^2+2v-7=0

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Solution for 5v^2+2v-7=0 equation: 


Simplifying
5v2 + 2v + -7 = 0

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

Solving
-7 + 2v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -5v)(1 + -1v) = 0


Subproblem 1
Set the factor '(-7 + -5v)' equal to zero and attempt to solve:

Simplifying
-7 + -5v = 0

Solving
-7 + -5v = 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 + -5v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5v = 0 + 7
-5v = 0 + 7

Combine like terms: 0 + 7 = 7
-5v = 7

Divide each side by '-5'.
v = -1.4

Simplifying
v = -1.4

Subproblem 2
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
Solution
v = {-1.4, 1}

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