v^2-11v+4=-3v+4

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Solution for v^2-11v+4=-3v+4 equation: 


Simplifying
v2 + -11v + 4 = -3v + 4

Reorder the terms:
4 + -11v + v2 = -3v + 4

Reorder the terms:
4 + -11v + v2 = 4 + -3v

Add '-4' to each side of the equation.
4 + -11v + -4 + v2 = 4 + -4 + -3v

Reorder the terms:
4 + -4 + -11v + v2 = 4 + -4 + -3v

Combine like terms: 4 + -4 = 0
0 + -11v + v2 = 4 + -4 + -3v
-11v + v2 = 4 + -4 + -3v

Combine like terms: 4 + -4 = 0
-11v + v2 = 0 + -3v
-11v + v2 = -3v

Solving
-11v + v2 = -3v

Solving for variable 'v'.

Reorder the terms:
-11v + 3v + v2 = -3v + 3v

Combine like terms: -11v + 3v = -8v
-8v + v2 = -3v + 3v

Combine like terms: -3v + 3v = 0
-8v + v2 = 0

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


Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0

Subproblem 2
Set the factor '(-8 + v)' equal to zero and attempt to solve:

Simplifying
-8 + v = 0

Solving
-8 + v = 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 + v = 0 + 8

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

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

Simplifying
v = 8
Solution
v = {0, 8}

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