10v^2-21v-49=0

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Solution for 10v^2-21v-49=0 equation: 


Simplifying
10v2 + -21v + -49 = 0

Reorder the terms:
-49 + -21v + 10v2 = 0

Solving
-49 + -21v + 10v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -5v)(7 + -2v) = 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 '(7 + -2v)' equal to zero and attempt to solve:

Simplifying
7 + -2v = 0

Solving
7 + -2v = 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 + -2v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2v = 0 + -7
-2v = 0 + -7

Combine like terms: 0 + -7 = -7
-2v = -7

Divide each side by '-2'.
v = 3.5

Simplifying
v = 3.5
Solution
v = {-1.4, 3.5}

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