2(2q-7p)=q(3p-q)

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Solution for 2(2q-7p)=q(3p-q) equation:


Simplifying
2(2q + -7p) = q(3p + -1q)

Reorder the terms:
2(-7p + 2q) = q(3p + -1q)
(-7p * 2 + 2q * 2) = q(3p + -1q)
(-14p + 4q) = q(3p + -1q)
-14p + 4q = (3p * q + -1q * q)
-14p + 4q = (3pq + -1q2)

Solving
-14p + 4q = 3pq + -1q2

Solving for variable 'p'.

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

Add '-3pq' to each side of the equation.
-14p + -3pq + 4q = 3pq + -3pq + -1q2

Combine like terms: 3pq + -3pq = 0
-14p + -3pq + 4q = 0 + -1q2
-14p + -3pq + 4q = -1q2

Add '-4q' to each side of the equation.
-14p + -3pq + 4q + -4q = -4q + -1q2

Combine like terms: 4q + -4q = 0
-14p + -3pq + 0 = -4q + -1q2
-14p + -3pq = -4q + -1q2

Reorder the terms:
-14p + -3pq + 4q + q2 = -4q + 4q + -1q2 + q2

Combine like terms: -4q + 4q = 0
-14p + -3pq + 4q + q2 = 0 + -1q2 + q2
-14p + -3pq + 4q + q2 = -1q2 + q2

Combine like terms: -1q2 + q2 = 0
-14p + -3pq + 4q + q2 = 0

The solution to this equation could not be determined.

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