v(26+8v)-7=0

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Solution for v(26+8v)-7=0 equation: 


Simplifying
v(26 + 8v) + -7 = 0
(26 * v + 8v * v) + -7 = 0
(26v + 8v2) + -7 = 0

Reorder the terms:
-7 + 26v + 8v2 = 0

Solving
-7 + 26v + 8v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -2v)(1 + -4v) = 0


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

Simplifying
-7 + -2v = 0

Solving
-7 + -2v = 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 + -2v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2v = 0 + 7
-2v = 0 + 7

Combine like terms: 0 + 7 = 7
-2v = 7

Divide each side by '-2'.
v = -3.5

Simplifying
v = -3.5

Subproblem 2
Set the factor '(1 + -4v)' equal to zero and attempt to solve:

Simplifying
1 + -4v = 0

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

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

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

Divide each side by '-4'.
v = 0.25

Simplifying
v = 0.25
Solution
v = {-3.5, 0.25}

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