-v^2-7v+44=0

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Solution for -v^2-7v+44=0 equation: 


Simplifying
-1v2 + -7v + 44 = 0

Reorder the terms:
44 + -7v + -1v2 = 0

Solving
44 + -7v + -1v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4 + -1v)(11 + v) = 0


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

Simplifying
4 + -1v = 0

Solving
4 + -1v = 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 + -1v = 0 + -4

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

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

Divide each side by '-1'.
v = 4

Simplifying
v = 4

Subproblem 2
Set the factor '(11 + v)' equal to zero and attempt to solve:

Simplifying
11 + v = 0

Solving
11 + v = 0

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

Add '-11' to each side of the equation.
11 + -11 + v = 0 + -11

Combine like terms: 11 + -11 = 0
0 + v = 0 + -11
v = 0 + -11

Combine like terms: 0 + -11 = -11
v = -11

Simplifying
v = -11
Solution
v = {4, -11}

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