2p^2-5p+4=1

Solution for 2p^2-5p+4=1 equation:

Simplifying
2p2 + -5p + 4 = 1

Reorder the terms:
4 + -5p + 2p2 = 1

Solving
4 + -5p + 2p2 = 1

Solving for variable 'p'.

Reorder the terms:
4 + -1 + -5p + 2p2 = 1 + -1

Combine like terms: 4 + -1 = 3
3 + -5p + 2p2 = 1 + -1

Combine like terms: 1 + -1 = 0
3 + -5p + 2p2 = 0

Factor a trinomial.
(1 + -1p)(3 + -2p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -2p)' equal to zero and attempt to solve:

Simplifying
3 + -2p = 0

Solving
3 + -2p = 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 + -2p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2p = 0 + -3
-2p = 0 + -3

Combine like terms: 0 + -3 = -3
-2p = -3

Divide each side by '-2'.
p = 1.5

Simplifying
p = 1.5
Solution
p = {1, 1.5}