(3r+8q)(8q-3r)=

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Solution for (3r+8q)(8q-3r)= equation: 


Simplifying
(3r + 8q)(8q + -3r) = 0

Reorder the terms:
(8q + 3r)(8q + -3r) = 0

Multiply (8q + 3r) * (8q + -3r)
(8q * (8q + -3r) + 3r * (8q + -3r)) = 0
((8q * 8q + -3r * 8q) + 3r * (8q + -3r)) = 0

Reorder the terms:
((-24qr + 64q2) + 3r * (8q + -3r)) = 0
((-24qr + 64q2) + 3r * (8q + -3r)) = 0
(-24qr + 64q2 + (8q * 3r + -3r * 3r)) = 0
(-24qr + 64q2 + (24qr + -9r2)) = 0

Reorder the terms:
(-24qr + 24qr + 64q2 + -9r2) = 0

Combine like terms: -24qr + 24qr = 0
(0 + 64q2 + -9r2) = 0
(64q2 + -9r2) = 0

Solving
64q2 + -9r2 = 0

Solving for variable 'q'.

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

Add '9r2' to each side of the equation.
64q2 + -9r2 + 9r2 = 0 + 9r2

Combine like terms: -9r2 + 9r2 = 0
64q2 + 0 = 0 + 9r2
64q2 = 0 + 9r2
Remove the zero:
64q2 = 9r2

Divide each side by '64'.
q2 = 0.140625r2

Simplifying
q2 = 0.140625r2

Take the square root of each side:
q = {-0.375r, 0.375r}

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