4p(2p-2)-p(6p-4)=

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Solution for 4p(2p-2)-p(6p-4)= equation: 


Simplifying
4p(2p + -2) + -1p(6p + -4) = 0

Reorder the terms:
4p(-2 + 2p) + -1p(6p + -4) = 0
(-2 * 4p + 2p * 4p) + -1p(6p + -4) = 0
(-8p + 8p2) + -1p(6p + -4) = 0

Reorder the terms:
-8p + 8p2 + -1p(-4 + 6p) = 0
-8p + 8p2 + (-4 * -1p + 6p * -1p) = 0
-8p + 8p2 + (4p + -6p2) = 0

Reorder the terms:
-8p + 4p + 8p2 + -6p2 = 0

Combine like terms: -8p + 4p = -4p
-4p + 8p2 + -6p2 = 0

Combine like terms: 8p2 + -6p2 = 2p2
-4p + 2p2 = 0

Solving
-4p + 2p2 = 0

Solving for variable 'p'.

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

Ignore the factor 2.

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 '(-2 + p)' equal to zero and attempt to solve:

Simplifying
-2 + p = 0

Solving
-2 + p = 0

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

Add '2' to each side of the equation.
-2 + 2 + p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + p = 0 + 2
p = 0 + 2

Combine like terms: 0 + 2 = 2
p = 2

Simplifying
p = 2
Solution
p = {0, 2}

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