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

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


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

Multiply p * p
-2p2 + -4(4)(3p) = 0

Remove parenthesis around (3p)
-2p2 + -4 * 4 * 3p = 0

Multiply -4 * 4
-2p2 + -16 * 3p = 0

Multiply -16 * 3
-2p2 + -48p = 0

Reorder the terms:
-48p + -2p2 = 0

Solving
-48p + -2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-2p'.
-2p(24 + 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 '(24 + p)' equal to zero and attempt to solve:

Simplifying
24 + p = 0

Solving
24 + p = 0

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

Add '-24' to each side of the equation.
24 + -24 + p = 0 + -24

Combine like terms: 24 + -24 = 0
0 + p = 0 + -24
p = 0 + -24

Combine like terms: 0 + -24 = -24
p = -24

Simplifying
p = -24
Solution
p = {0, -24}

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