(9v+4)(5v-15)=0

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Solution for (9v+4)(5v-15)=0 equation: 


Simplifying
(9v + 4)(5v + -15) = 0

Reorder the terms:
(4 + 9v)(5v + -15) = 0

Reorder the terms:
(4 + 9v)(-15 + 5v) = 0

Multiply (4 + 9v) * (-15 + 5v)
(4(-15 + 5v) + 9v * (-15 + 5v)) = 0
((-15 * 4 + 5v * 4) + 9v * (-15 + 5v)) = 0
((-60 + 20v) + 9v * (-15 + 5v)) = 0
(-60 + 20v + (-15 * 9v + 5v * 9v)) = 0
(-60 + 20v + (-135v + 45v2)) = 0

Combine like terms: 20v + -135v = -115v
(-60 + -115v + 45v2) = 0

Solving
-60 + -115v + 45v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -23v + 9v2) = 0

Factor a trinomial.
5((-4 + -9v)(3 + -1v)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4 + -9v)' equal to zero and attempt to solve:

Simplifying
-4 + -9v = 0

Solving
-4 + -9v = 0

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

Add '4' to each side of the equation.
-4 + 4 + -9v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9v = 0 + 4
-9v = 0 + 4

Combine like terms: 0 + 4 = 4
-9v = 4

Divide each side by '-9'.
v = -0.4444444444

Simplifying
v = -0.4444444444

Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {-0.4444444444, 3}

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