9q(4q-2r+1)=36Q^2+9Q

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Solution for 9q(4q-2r+1)=36Q^2+9Q equation: 


Simplifying
9q(4q + -2r + 1) = 36Q2 + 9Q

Reorder the terms:
9q(1 + 4q + -2r) = 36Q2 + 9Q
(1 * 9q + 4q * 9q + -2r * 9q) = 36Q2 + 9Q

Reorder the terms:
(9q + -18qr + 36q2) = 36Q2 + 9Q
(9q + -18qr + 36q2) = 36Q2 + 9Q

Reorder the terms:
9q + -18qr + 36q2 = 9Q + 36Q2

Solving
9q + -18qr + 36q2 = 9Q + 36Q2

Solving for variable 'q'.

Reorder the terms:
-9Q + -36Q2 + 9q + -18qr + 36q2 = 9Q + 36Q2 + -9Q + -36Q2

Reorder the terms:
-9Q + -36Q2 + 9q + -18qr + 36q2 = 9Q + -9Q + 36Q2 + -36Q2

Combine like terms: 9Q + -9Q = 0
-9Q + -36Q2 + 9q + -18qr + 36q2 = 0 + 36Q2 + -36Q2
-9Q + -36Q2 + 9q + -18qr + 36q2 = 36Q2 + -36Q2

Combine like terms: 36Q2 + -36Q2 = 0
-9Q + -36Q2 + 9q + -18qr + 36q2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-1Q + -4Q2 + q + -2qr + 4q2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-1Q + -4Q2 + q + -2qr + 4q2)' equal to zero and attempt to solve:

Simplifying
-1Q + -4Q2 + q + -2qr + 4q2 = 0

Solving
-1Q + -4Q2 + q + -2qr + 4q2 = 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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