2p^2+3y+1y-4y+3p+p=

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Solution for 2p^2+3y+1y-4y+3p+p= equation: 


Simplifying
2p2 + 3y + 1y + -4y + 3p + p = 0

Reorder the terms:
3p + p + 2p2 + 3y + 1y + -4y = 0

Combine like terms: 3p + p = 4p
4p + 2p2 + 3y + 1y + -4y = 0

Combine like terms: 3y + 1y = 4y
4p + 2p2 + 4y + -4y = 0

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