7p^2-12=25p

Solution for 7p^2-12=25p equation:

Simplifying
7p2 + -12 = 25p

Reorder the terms:
-12 + 7p2 = 25p

Solving
-12 + 7p2 = 25p

Solving for variable 'p'.

Reorder the terms:
-12 + -25p + 7p2 = 25p + -25p

Combine like terms: 25p + -25p = 0
-12 + -25p + 7p2 = 0

Factor a trinomial.
(-3 + -7p)(4 + -1p) = 0

Subproblem 1
Set the factor '(-3 + -7p)' equal to zero and attempt to solve:

Simplifying
-3 + -7p = 0

Solving
-3 + -7p = 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 + -7p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7p = 0 + 3
-7p = 0 + 3

Combine like terms: 0 + 3 = 3
-7p = 3

Divide each side by '-7'.
p = -0.4285714286

Simplifying
p = -0.4285714286
Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4
Solution
p = {-0.4285714286, 4}