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

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


Simplifying
-3p(2p + -3q + 4) = 0

Reorder the terms:
-3p(4 + 2p + -3q) = 0
(4 * -3p + 2p * -3p + -3q * -3p) = 0

Reorder the terms:
(-12p + 9pq + -6p2) = 0
(-12p + 9pq + -6p2) = 0

Solving
-12p + 9pq + -6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p'.
3p(-4 + 3q + -2p) = 0

Ignore the factor 3.

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 '(-4 + 3q + -2p)' equal to zero and attempt to solve: Simplifying -4 + 3q + -2p = 0 Reorder the terms: -4 + -2p + 3q = 0 Solving -4 + -2p + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2p + 4 + 3q = 0 + 4 Reorder the terms: -4 + 4 + -2p + 3q = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2p + 3q = 0 + 4 -2p + 3q = 0 + 4 Combine like terms: 0 + 4 = 4 -2p + 3q = 4 Add '-3q' to each side of the equation. -2p + 3q + -3q = 4 + -3q Combine like terms: 3q + -3q = 0 -2p + 0 = 4 + -3q -2p = 4 + -3q Divide each side by '-2'. p = -2 + 1.5q Simplifying p = -2 + 1.5q

Solution

p = {0, -2 + 1.5q}

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