5p^2-p+2=6

Solution for 5p^2-p+2=6 equation:

Simplifying
5p2 + -1p + 2 = 6

Reorder the terms:
2 + -1p + 5p2 = 6

Solving
2 + -1p + 5p2 = 6

Solving for variable 'p'.

Reorder the terms:
2 + -6 + -1p + 5p2 = 6 + -6

Combine like terms: 2 + -6 = -4
-4 + -1p + 5p2 = 6 + -6

Combine like terms: 6 + -6 = 0
-4 + -1p + 5p2 = 0

Factor a trinomial.
(-4 + -5p)(1 + -1p) = 0

Subproblem 1
Set the factor '(-4 + -5p)' equal to zero and attempt to solve:

Simplifying
-4 + -5p = 0

Solving
-4 + -5p = 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 + -5p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5p = 0 + 4
-5p = 0 + 4

Combine like terms: 0 + 4 = 4
-5p = 4

Divide each side by '-5'.
p = -0.8

Simplifying
p = -0.8
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 = {-0.8, 1}