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Simplifying
(3v + 5)(3v + -5) = 0
Reorder the terms:
(5 + 3v)(3v + -5) = 0
Reorder the terms:
(5 + 3v)(-5 + 3v) = 0
Multiply (5 + 3v) * (-5 + 3v)
(5(-5 + 3v) + 3v * (-5 + 3v)) = 0
((-5 * 5 + 3v * 5) + 3v * (-5 + 3v)) = 0
((-25 + 15v) + 3v * (-5 + 3v)) = 0
(-25 + 15v + (-5 * 3v + 3v * 3v)) = 0
(-25 + 15v + (-15v + 9v2)) = 0
Combine like terms: 15v + -15v = 0
(-25 + 0 + 9v2) = 0
(-25 + 9v2) = 0
Solving
-25 + 9v2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 9v2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 9v2 = 0 + 25
9v2 = 0 + 25
Combine like terms: 0 + 25 = 25
9v2 = 25
Divide each side by '9'.
v2 = 2.777777778
Simplifying
v2 = 2.777777778
Take the square root of each side:
v = {-1.666666667, 1.666666667}
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