45-q=3q^2-16Q+57

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Solution for 45-q=3q^2-16Q+57 equation: 


Simplifying
45 + -1q = 3q2 + -16Q + 57

Reorder the terms:
45 + -1q = 57 + -16Q + 3q2

Solving
45 + -1q = 57 + -16Q + 3q2

Solving for variable 'q'.

Reorder the terms:
45 + -57 + 16Q + -1q + -3q2 = 57 + -16Q + 3q2 + -57 + 16Q + -3q2

Combine like terms: 45 + -57 = -12
-12 + 16Q + -1q + -3q2 = 57 + -16Q + 3q2 + -57 + 16Q + -3q2

Reorder the terms:
-12 + 16Q + -1q + -3q2 = 57 + -57 + -16Q + 16Q + 3q2 + -3q2

Combine like terms: 57 + -57 = 0
-12 + 16Q + -1q + -3q2 = 0 + -16Q + 16Q + 3q2 + -3q2
-12 + 16Q + -1q + -3q2 = -16Q + 16Q + 3q2 + -3q2

Combine like terms: -16Q + 16Q = 0
-12 + 16Q + -1q + -3q2 = 0 + 3q2 + -3q2
-12 + 16Q + -1q + -3q2 = 3q2 + -3q2

Combine like terms: 3q2 + -3q2 = 0
-12 + 16Q + -1q + -3q2 = 0

The solution to this equation could not be determined.

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