40p^2=-120+148p

Solution for 40p^2=-120+148p equation:

Simplifying
40p2 = -120 + 148p

Solving
40p2 = -120 + 148p

Solving for variable 'p'.

Reorder the terms:
120 + -148p + 40p2 = -120 + 148p + 120 + -148p

Reorder the terms:
120 + -148p + 40p2 = -120 + 120 + 148p + -148p

Combine like terms: -120 + 120 = 0
120 + -148p + 40p2 = 0 + 148p + -148p
120 + -148p + 40p2 = 148p + -148p

Combine like terms: 148p + -148p = 0
120 + -148p + 40p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(30 + -37p + 10p2) = 0

Factor a trinomial.
4((6 + -5p)(5 + -2p)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + -5p)' equal to zero and attempt to solve:

Simplifying
6 + -5p = 0

Solving
6 + -5p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5p = 0 + -6
-5p = 0 + -6

Combine like terms: 0 + -6 = -6
-5p = -6

Divide each side by '-5'.
p = 1.2

Simplifying
p = 1.2
Subproblem 2
Set the factor '(5 + -2p)' equal to zero and attempt to solve:

Simplifying
5 + -2p = 0

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

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

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

Divide each side by '-2'.
p = 2.5

Simplifying
p = 2.5
Solution
p = {1.2, 2.5}