p^2=-3p+4

Solution for p^2=-3p+4 equation:

Simplifying
p2 = -3p + 4

Reorder the terms:
p2 = 4 + -3p

Solving
p2 = 4 + -3p

Solving for variable 'p'.

Reorder the terms:
-4 + 3p + p2 = 4 + -3p + -4 + 3p

Reorder the terms:
-4 + 3p + p2 = 4 + -4 + -3p + 3p

Combine like terms: 4 + -4 = 0
-4 + 3p + p2 = 0 + -3p + 3p
-4 + 3p + p2 = -3p + 3p

Combine like terms: -3p + 3p = 0
-4 + 3p + p2 = 0

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

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

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

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

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

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

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

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

Simplifying
p = 1
Solution
p = {-4, 1}