5p^2+40p+79=4

Solution for 5p^2+40p+79=4 equation:

Simplifying
5p2 + 40p + 79 = 4

Reorder the terms:
79 + 40p + 5p2 = 4

Solving
79 + 40p + 5p2 = 4

Solving for variable 'p'.

Reorder the terms:
79 + -4 + 40p + 5p2 = 4 + -4

Combine like terms: 79 + -4 = 75
75 + 40p + 5p2 = 4 + -4

Combine like terms: 4 + -4 = 0
75 + 40p + 5p2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(15 + 8p + p2) = 0

Factor a trinomial.
5((5 + p)(3 + p)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(5 + p)' equal to zero and attempt to solve:

Simplifying
5 + p = 0

Solving
5 + p = 0

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

Add '-5' to each side of the equation.
5 + -5 + p = 0 + -5

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

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

Simplifying
p = -5
Subproblem 2
Set the factor '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

Solving
3 + p = 0

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

Add '-3' to each side of the equation.
3 + -3 + p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + p = 0 + -3
p = 0 + -3

Combine like terms: 0 + -3 = -3
p = -3

Simplifying
p = -3
Solution
p = {-5, -3}