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

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


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

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

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

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

Reorder the terms:
((15dv + -9d2) + 5v * (-3d + 5v)) = 0
((15dv + -9d2) + 5v * (-3d + 5v)) = 0
(15dv + -9d2 + (-3d * 5v + 5v * 5v)) = 0
(15dv + -9d2 + (-15dv + 25v2)) = 0

Reorder the terms:
(15dv + -15dv + -9d2 + 25v2) = 0

Combine like terms: 15dv + -15dv = 0
(0 + -9d2 + 25v2) = 0
(-9d2 + 25v2) = 0

Solving
-9d2 + 25v2 = 0

Solving for variable 'd'.

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

Add '-25v2' to each side of the equation.
-9d2 + 25v2 + -25v2 = 0 + -25v2

Combine like terms: 25v2 + -25v2 = 0
-9d2 + 0 = 0 + -25v2
-9d2 = 0 + -25v2
Remove the zero:
-9d2 = -25v2

Divide each side by '-9'.
d2 = 2.777777778v2

Simplifying
d2 = 2.777777778v2

Take the square root of each side:
d = {-1.666666667v, 1.666666667v}

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