7p^2-12=-8p

Solution for 7p^2-12=-8p equation:

Simplifying
7p2 + -12 = -8p

Reorder the terms:
-12 + 7p2 = -8p

Solving
-12 + 7p2 = -8p

Solving for variable 'p'.

Reorder the terms:
-12 + 8p + 7p2 = -8p + 8p

Combine like terms: -8p + 8p = 0
-12 + 8p + 7p2 = 0

Factor a trinomial.
(-2 + -1p)(6 + -7p) = 0

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

Simplifying
-2 + -1p = 0

Solving
-2 + -1p = 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 + -1p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1p = 0 + 2
-1p = 0 + 2

Combine like terms: 0 + 2 = 2
-1p = 2

Divide each side by '-1'.
p = -2

Simplifying
p = -2
Subproblem 2
Set the factor '(6 + -7p)' equal to zero and attempt to solve:

Simplifying
6 + -7p = 0

Solving
6 + -7p = 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 + -7p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7p = 0 + -6
-7p = 0 + -6

Combine like terms: 0 + -6 = -6
-7p = -6

Divide each side by '-7'.
p = 0.8571428571

Simplifying
p = 0.8571428571
Solution
p = {-2, 0.8571428571}