3((5r+q)-4)((5r+q)+4)=

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Solution for 3((5r+q)-4)((5r+q)+4)= equation: 


Simplifying
3((5r + q) + -4)((5r + q) + 4) = 0

Reorder the terms:
3((q + 5r) + -4)((5r + q) + 4) = 0

Remove parenthesis around (q + 5r)
3(q + 5r + -4)((5r + q) + 4) = 0

Reorder the terms:
3(-4 + q + 5r)((5r + q) + 4) = 0

Reorder the terms:
3(-4 + q + 5r)((q + 5r) + 4) = 0

Remove parenthesis around (q + 5r)
3(-4 + q + 5r)(q + 5r + 4) = 0

Reorder the terms:
3(-4 + q + 5r)(4 + q + 5r) = 0

Multiply (-4 + q + 5r) * (4 + q + 5r)
3(-4(4 + q + 5r) + q(4 + q + 5r) + 5r * (4 + q + 5r)) = 0
3((4 * -4 + q * -4 + 5r * -4) + q(4 + q + 5r) + 5r * (4 + q + 5r)) = 0
3((-16 + -4q + -20r) + q(4 + q + 5r) + 5r * (4 + q + 5r)) = 0
3(-16 + -4q + -20r + (4 * q + q * q + 5r * q) + 5r * (4 + q + 5r)) = 0

Reorder the terms:
3(-16 + -4q + -20r + (4q + 5qr + q2) + 5r * (4 + q + 5r)) = 0
3(-16 + -4q + -20r + (4q + 5qr + q2) + 5r * (4 + q + 5r)) = 0
3(-16 + -4q + -20r + 4q + 5qr + q2 + (4 * 5r + q * 5r + 5r * 5r)) = 0

Reorder the terms:
3(-16 + -4q + -20r + 4q + 5qr + q2 + (5qr + 20r + 25r2)) = 0
3(-16 + -4q + -20r + 4q + 5qr + q2 + (5qr + 20r + 25r2)) = 0

Reorder the terms:
3(-16 + -4q + 4q + 5qr + 5qr + q2 + -20r + 20r + 25r2) = 0

Combine like terms: -4q + 4q = 0
3(-16 + 0 + 5qr + 5qr + q2 + -20r + 20r + 25r2) = 0
3(-16 + 5qr + 5qr + q2 + -20r + 20r + 25r2) = 0

Combine like terms: 5qr + 5qr = 10qr
3(-16 + 10qr + q2 + -20r + 20r + 25r2) = 0

Combine like terms: -20r + 20r = 0
3(-16 + 10qr + q2 + 0 + 25r2) = 0
3(-16 + 10qr + q2 + 25r2) = 0
(-16 * 3 + 10qr * 3 + q2 * 3 + 25r2 * 3) = 0
(-48 + 30qr + 3q2 + 75r2) = 0

Solving
-48 + 30qr + 3q2 + 75r2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-16 + 10qr + q2 + 25r2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-16 + 10qr + q2 + 25r2)' equal to zero and attempt to solve:

Simplifying
-16 + 10qr + q2 + 25r2 = 0

Solving
-16 + 10qr + q2 + 25r2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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