(14v+9)(5v-15)=0

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Solution for (14v+9)(5v-15)=0 equation: 


Simplifying
(14v + 9)(5v + -15) = 0

Reorder the terms:
(9 + 14v)(5v + -15) = 0

Reorder the terms:
(9 + 14v)(-15 + 5v) = 0

Multiply (9 + 14v) * (-15 + 5v)
(9(-15 + 5v) + 14v * (-15 + 5v)) = 0
((-15 * 9 + 5v * 9) + 14v * (-15 + 5v)) = 0
((-135 + 45v) + 14v * (-15 + 5v)) = 0
(-135 + 45v + (-15 * 14v + 5v * 14v)) = 0
(-135 + 45v + (-210v + 70v2)) = 0

Combine like terms: 45v + -210v = -165v
(-135 + -165v + 70v2) = 0

Solving
-135 + -165v + 70v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-27 + -33v + 14v2) = 0

Factor a trinomial.
5((-9 + -14v)(3 + -1v)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-9 + -14v)' equal to zero and attempt to solve:

Simplifying
-9 + -14v = 0

Solving
-9 + -14v = 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 + -14v = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -14v = 0 + 9
-14v = 0 + 9

Combine like terms: 0 + 9 = 9
-14v = 9

Divide each side by '-14'.
v = -0.6428571429

Simplifying
v = -0.6428571429

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 = {-0.6428571429, 3}

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