-2v(9v-5)+7v(1+v)=

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Solution for -2v(9v-5)+7v(1+v)= equation: 


Simplifying
-2v(9v + -5) + 7v(1 + v) = 0

Reorder the terms:
-2v(-5 + 9v) + 7v(1 + v) = 0
(-5 * -2v + 9v * -2v) + 7v(1 + v) = 0
(10v + -18v2) + 7v(1 + v) = 0
10v + -18v2 + (1 * 7v + v * 7v) = 0
10v + -18v2 + (7v + 7v2) = 0

Reorder the terms:
10v + 7v + -18v2 + 7v2 = 0

Combine like terms: 10v + 7v = 17v
17v + -18v2 + 7v2 = 0

Combine like terms: -18v2 + 7v2 = -11v2
17v + -11v2 = 0

Solving
17v + -11v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(17 + -11v) = 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 '(17 + -11v)' equal to zero and attempt to solve:

Simplifying
17 + -11v = 0

Solving
17 + -11v = 0

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

Add '-17' to each side of the equation.
17 + -17 + -11v = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -11v = 0 + -17
-11v = 0 + -17

Combine like terms: 0 + -17 = -17
-11v = -17

Divide each side by '-11'.
v = 1.545454545

Simplifying
v = 1.545454545
Solution
v = {0, 1.545454545}

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