(6t-3)(2t+3)=(9q+4)(7q-1)

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Solution for (6t-3)(2t+3)=(9q+4)(7q-1) equation: 


Simplifying
(6t + -3)(2t + 3) = (9q + 4)(7q + -1)

Reorder the terms:
(-3 + 6t)(2t + 3) = (9q + 4)(7q + -1)

Reorder the terms:
(-3 + 6t)(3 + 2t) = (9q + 4)(7q + -1)

Multiply (-3 + 6t) * (3 + 2t)
(-3(3 + 2t) + 6t * (3 + 2t)) = (9q + 4)(7q + -1)
((3 * -3 + 2t * -3) + 6t * (3 + 2t)) = (9q + 4)(7q + -1)
((-9 + -6t) + 6t * (3 + 2t)) = (9q + 4)(7q + -1)
(-9 + -6t + (3 * 6t + 2t * 6t)) = (9q + 4)(7q + -1)
(-9 + -6t + (18t + 12t2)) = (9q + 4)(7q + -1)

Combine like terms: -6t + 18t = 12t
(-9 + 12t + 12t2) = (9q + 4)(7q + -1)

Reorder the terms:
-9 + 12t + 12t2 = (4 + 9q)(7q + -1)

Reorder the terms:
-9 + 12t + 12t2 = (4 + 9q)(-1 + 7q)

Multiply (4 + 9q) * (-1 + 7q)
-9 + 12t + 12t2 = (4(-1 + 7q) + 9q * (-1 + 7q))
-9 + 12t + 12t2 = ((-1 * 4 + 7q * 4) + 9q * (-1 + 7q))
-9 + 12t + 12t2 = ((-4 + 28q) + 9q * (-1 + 7q))
-9 + 12t + 12t2 = (-4 + 28q + (-1 * 9q + 7q * 9q))
-9 + 12t + 12t2 = (-4 + 28q + (-9q + 63q2))

Combine like terms: 28q + -9q = 19q
-9 + 12t + 12t2 = (-4 + 19q + 63q2)

Solving
-9 + 12t + 12t2 = -4 + 19q + 63q2

Solving for variable 't'.

Reorder the terms:
-9 + 4 + -19q + -63q2 + 12t + 12t2 = -4 + 19q + 63q2 + 4 + -19q + -63q2

Combine like terms: -9 + 4 = -5
-5 + -19q + -63q2 + 12t + 12t2 = -4 + 19q + 63q2 + 4 + -19q + -63q2

Reorder the terms:
-5 + -19q + -63q2 + 12t + 12t2 = -4 + 4 + 19q + -19q + 63q2 + -63q2

Combine like terms: -4 + 4 = 0
-5 + -19q + -63q2 + 12t + 12t2 = 0 + 19q + -19q + 63q2 + -63q2
-5 + -19q + -63q2 + 12t + 12t2 = 19q + -19q + 63q2 + -63q2

Combine like terms: 19q + -19q = 0
-5 + -19q + -63q2 + 12t + 12t2 = 0 + 63q2 + -63q2
-5 + -19q + -63q2 + 12t + 12t2 = 63q2 + -63q2

Combine like terms: 63q2 + -63q2 = 0
-5 + -19q + -63q2 + 12t + 12t2 = 0

The solution to this equation could not be determined.

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