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

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


Simplifying
(2p + -3q)(2p + -3p) = 0

Combine like terms: 2p + -3p = -1p
(2p + -3q)(-1p) = 0

Remove parenthesis around (-1p)
(2p + -3q) * -1p = 0

Reorder the terms for easier multiplication:
-1p(2p + -3q) = 0
(2p * -1p + -3q * -1p) = 0

Reorder the terms:
(3pq + -2p2) = 0
(3pq + -2p2) = 0

Solving
3pq + -2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(3q + -2p) = 0

Subproblem 1

Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0

Subproblem 2

Set the factor '(3q + -2p)' equal to zero and attempt to solve: Simplifying 3q + -2p = 0 Reorder the terms: -2p + 3q = 0 Solving -2p + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. -2p + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 -2p + 0 = 0 + -3q -2p = 0 + -3q Remove the zero: -2p = -3q Divide each side by '-2'. p = 1.5q Simplifying p = 1.5q

Solution

p = {0, 1.5q}

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