p^2=3p-10

Solution for p^2=3p-10 equation:

Simplifying
p2 = 3p + -10

Reorder the terms:
p2 = -10 + 3p

Solving
p2 = -10 + 3p

Solving for variable 'p'.

Reorder the terms:
10 + -3p + p2 = -10 + 3p + 10 + -3p

Reorder the terms:
10 + -3p + p2 = -10 + 10 + 3p + -3p

Combine like terms: -10 + 10 = 0
10 + -3p + p2 = 0 + 3p + -3p
10 + -3p + p2 = 3p + -3p

Combine like terms: 3p + -3p = 0
10 + -3p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -3p + -10 + p2 = 0 + -10

Reorder the terms:
10 + -10 + -3p + p2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3p + p2 = 0 + -10
-3p + p2 = 0 + -10

Combine like terms: 0 + -10 = -10
-3p + p2 = -10

The p term is -3p.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3p + 2.25 + p2 = -10 + 2.25

Reorder the terms:
2.25 + -3p + p2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + -3p + p2 = -7.75

Factor a perfect square on the left side:
(p + -1.5)(p + -1.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.