2x=(2*p-3*q)*(4*p-2*q)

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Solution for 2x=(2*p-3*q)*(4*p-2*q) equation:


Simplifying
2x = (2p + -3q)(4p + -2q)

Multiply (2p + -3q) * (4p + -2q)
2x = (2p * (4p + -2q) + -3q * (4p + -2q))
2x = ((4p * 2p + -2q * 2p) + -3q * (4p + -2q))

Reorder the terms:
2x = ((-4pq + 8p2) + -3q * (4p + -2q))
2x = ((-4pq + 8p2) + -3q * (4p + -2q))
2x = (-4pq + 8p2 + (4p * -3q + -2q * -3q))
2x = (-4pq + 8p2 + (-12pq + 6q2))

Reorder the terms:
2x = (-4pq + -12pq + 8p2 + 6q2)

Combine like terms: -4pq + -12pq = -16pq
2x = (-16pq + 8p2 + 6q2)

Solving
2x = -16pq + 8p2 + 6q2

Solving for variable 'x'.

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

Divide each side by '2'.
x = -8pq + 4p2 + 3q2

Simplifying
x = -8pq + 4p2 + 3q2

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