9v(-4+4v)+8v(9-7v)=

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Solution for 9v(-4+4v)+8v(9-7v)= equation: 


Simplifying
9v(-4 + 4v) + 8v(9 + -7v) = 0
(-4 * 9v + 4v * 9v) + 8v(9 + -7v) = 0
(-36v + 36v2) + 8v(9 + -7v) = 0
-36v + 36v2 + (9 * 8v + -7v * 8v) = 0
-36v + 36v2 + (72v + -56v2) = 0

Reorder the terms:
-36v + 72v + 36v2 + -56v2 = 0

Combine like terms: -36v + 72v = 36v
36v + 36v2 + -56v2 = 0

Combine like terms: 36v2 + -56v2 = -20v2
36v + -20v2 = 0

Solving
36v + -20v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v'.
4v(9 + -5v) = 0

Ignore the factor 4.

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 '(9 + -5v)' equal to zero and attempt to solve:

Simplifying
9 + -5v = 0

Solving
9 + -5v = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5v = 0 + -9
-5v = 0 + -9

Combine like terms: 0 + -9 = -9
-5v = -9

Divide each side by '-5'.
v = 1.8

Simplifying
v = 1.8
Solution
v = {0, 1.8}

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