9v^2+55v-4=4+2v^2

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Solution for 9v^2+55v-4=4+2v^2 equation: 


Simplifying
9v2 + 55v + -4 = 4 + 2v2

Reorder the terms:
-4 + 55v + 9v2 = 4 + 2v2

Solving
-4 + 55v + 9v2 = 4 + 2v2

Solving for variable 'v'.

Reorder the terms:
-4 + -4 + 55v + 9v2 + -2v2 = 4 + 2v2 + -4 + -2v2

Combine like terms: -4 + -4 = -8
-8 + 55v + 9v2 + -2v2 = 4 + 2v2 + -4 + -2v2

Combine like terms: 9v2 + -2v2 = 7v2
-8 + 55v + 7v2 = 4 + 2v2 + -4 + -2v2

Reorder the terms:
-8 + 55v + 7v2 = 4 + -4 + 2v2 + -2v2

Combine like terms: 4 + -4 = 0
-8 + 55v + 7v2 = 0 + 2v2 + -2v2
-8 + 55v + 7v2 = 2v2 + -2v2

Combine like terms: 2v2 + -2v2 = 0
-8 + 55v + 7v2 = 0

Factor a trinomial.
(-8 + -1v)(1 + -7v) = 0


Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve:

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1v = 0 + 8
-1v = 0 + 8

Combine like terms: 0 + 8 = 8
-1v = 8

Divide each side by '-1'.
v = -8

Simplifying
v = -8

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

Simplifying
1 + -7v = 0

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

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

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

Divide each side by '-7'.
v = 0.1428571429

Simplifying
v = 0.1428571429
Solution
v = {-8, 0.1428571429}

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