-9v^2-22v-8=0

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Solution for -9v^2-22v-8=0 equation: 


Simplifying
-9v2 + -22v + -8 = 0

Reorder the terms:
-8 + -22v + -9v2 = 0

Solving
-8 + -22v + -9v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 22v + 9v2) = 0

Factor a trinomial.
-1((2 + v)(4 + 9v)) = 0

Ignore the factor -1.

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

Simplifying
2 + v = 0

Solving
2 + v = 0

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

Add '-2' to each side of the equation.
2 + -2 + v = 0 + -2

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

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

Simplifying
v = -2

Subproblem 2
Set the factor '(4 + 9v)' equal to zero and attempt to solve:

Simplifying
4 + 9v = 0

Solving
4 + 9v = 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 + 9v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9v = 0 + -4
9v = 0 + -4

Combine like terms: 0 + -4 = -4
9v = -4

Divide each side by '9'.
v = -0.4444444444

Simplifying
v = -0.4444444444
Solution
v = {-2, -0.4444444444}

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