q^2-3Q=3q(q-1)-2q^2+3

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Solution for q^2-3Q=3q(q-1)-2q^2+3 equation:


Simplifying
q2 + -3Q = 3q(q + -1) + -2q2 + 3

Reorder the terms:
-3Q + q2 = 3q(q + -1) + -2q2 + 3

Reorder the terms:
-3Q + q2 = 3q(-1 + q) + -2q2 + 3
-3Q + q2 = (-1 * 3q + q * 3q) + -2q2 + 3
-3Q + q2 = (-3q + 3q2) + -2q2 + 3

Reorder the terms:
-3Q + q2 = 3 + -3q + 3q2 + -2q2

Combine like terms: 3q2 + -2q2 = 1q2
-3Q + q2 = 3 + -3q + 1q2

Solving
-3Q + q2 = 3 + -3q + 1q2

Solving for variable 'Q'.

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

Add '-1q2' to each side of the equation.
-3Q + q2 + -1q2 = 3 + -3q + 1q2 + -1q2

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

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

Divide each side by '-3'.
Q = -1 + q

Simplifying
Q = -1 + q

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