5p^2+2p+4=4

Solution for 5p^2+2p+4=4 equation:

Simplifying
5p2 + 2p + 4 = 4

Reorder the terms:
4 + 2p + 5p2 = 4

Add '-4' to each side of the equation.
4 + 2p + -4 + 5p2 = 4 + -4

Reorder the terms:
4 + -4 + 2p + 5p2 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + 2p + 5p2 = 4 + -4
2p + 5p2 = 4 + -4

Combine like terms: 4 + -4 = 0
2p + 5p2 = 0

Solving
2p + 5p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(2 + 5p) = 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 '(2 + 5p)' equal to zero and attempt to solve:

Simplifying
2 + 5p = 0

Solving
2 + 5p = 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 + 5p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5p = 0 + -2
5p = 0 + -2

Combine like terms: 0 + -2 = -2
5p = -2

Divide each side by '5'.
p = -0.4

Simplifying
p = -0.4
Solution
p = {0, -0.4}