5p^2-12=28p

Solution for 5p^2-12=28p equation:

Simplifying
5p2 + -12 = 28p

Reorder the terms:
-12 + 5p2 = 28p

Solving
-12 + 5p2 = 28p

Solving for variable 'p'.

Reorder the terms:
-12 + -28p + 5p2 = 28p + -28p

Combine like terms: 28p + -28p = 0
-12 + -28p + 5p2 = 0

Factor a trinomial.
(-2 + -5p)(6 + -1p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 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 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-0.4, 6}