(3v+5g)(3v-5g)=

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Solution for (3v+5g)(3v-5g)= equation: 


Simplifying
(3v + 5g)(3v + -5g) = 0

Reorder the terms:
(5g + 3v)(3v + -5g) = 0

Reorder the terms:
(5g + 3v)(-5g + 3v) = 0

Multiply (5g + 3v) * (-5g + 3v)
(5g * (-5g + 3v) + 3v * (-5g + 3v)) = 0
((-5g * 5g + 3v * 5g) + 3v * (-5g + 3v)) = 0

Reorder the terms:
((15gv + -25g2) + 3v * (-5g + 3v)) = 0
((15gv + -25g2) + 3v * (-5g + 3v)) = 0
(15gv + -25g2 + (-5g * 3v + 3v * 3v)) = 0
(15gv + -25g2 + (-15gv + 9v2)) = 0

Reorder the terms:
(15gv + -15gv + -25g2 + 9v2) = 0

Combine like terms: 15gv + -15gv = 0
(0 + -25g2 + 9v2) = 0
(-25g2 + 9v2) = 0

Solving
-25g2 + 9v2 = 0

Solving for variable 'g'.

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

Add '-9v2' to each side of the equation.
-25g2 + 9v2 + -9v2 = 0 + -9v2

Combine like terms: 9v2 + -9v2 = 0
-25g2 + 0 = 0 + -9v2
-25g2 = 0 + -9v2
Remove the zero:
-25g2 = -9v2

Divide each side by '-25'.
g2 = 0.36v2

Simplifying
g2 = 0.36v2

Take the square root of each side:
g = {-0.6v, 0.6v}

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