36p^2+139=-150p-5

Solution for 36p^2+139=-150p-5 equation:

Simplifying
36p2 + 139 = -150p + -5

Reorder the terms:
139 + 36p2 = -150p + -5

Reorder the terms:
139 + 36p2 = -5 + -150p

Solving
139 + 36p2 = -5 + -150p

Solving for variable 'p'.

Reorder the terms:
139 + 5 + 150p + 36p2 = -5 + -150p + 5 + 150p

Combine like terms: 139 + 5 = 144
144 + 150p + 36p2 = -5 + -150p + 5 + 150p

Reorder the terms:
144 + 150p + 36p2 = -5 + 5 + -150p + 150p

Combine like terms: -5 + 5 = 0
144 + 150p + 36p2 = 0 + -150p + 150p
144 + 150p + 36p2 = -150p + 150p

Combine like terms: -150p + 150p = 0
144 + 150p + 36p2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(24 + 25p + 6p2) = 0

Factor a trinomial.
6((8 + 3p)(3 + 2p)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(8 + 3p)' equal to zero and attempt to solve:

Simplifying
8 + 3p = 0

Solving
8 + 3p = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3p = 0 + -8
3p = 0 + -8

Combine like terms: 0 + -8 = -8
3p = -8

Divide each side by '3'.
p = -2.666666667

Simplifying
p = -2.666666667
Subproblem 2
Set the factor '(3 + 2p)' equal to zero and attempt to solve:

Simplifying
3 + 2p = 0

Solving
3 + 2p = 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 + 2p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2p = 0 + -3
2p = 0 + -3

Combine like terms: 0 + -3 = -3
2p = -3

Divide each side by '2'.
p = -1.5

Simplifying
p = -1.5
Solution
p = {-2.666666667, -1.5}