7v^2-40v-63=0

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Solution for 7v^2-40v-63=0 equation: 


Simplifying
7v2 + -40v + -63 = 0

Reorder the terms:
-63 + -40v + 7v2 = 0

Solving
-63 + -40v + 7v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -7v)(7 + -1v) = 0


Subproblem 1
Set the factor '(-9 + -7v)' equal to zero and attempt to solve:

Simplifying
-9 + -7v = 0

Solving
-9 + -7v = 0

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

Add '9' to each side of the equation.
-9 + 9 + -7v = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -7v = 0 + 9
-7v = 0 + 9

Combine like terms: 0 + 9 = 9
-7v = 9

Divide each side by '-7'.
v = -1.285714286

Simplifying
v = -1.285714286

Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve:

Simplifying
7 + -1v = 0

Solving
7 + -1v = 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 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Divide each side by '-1'.
v = 7

Simplifying
v = 7
Solution
v = {-1.285714286, 7}

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