3p^2-7p+4=0

Solution for 3p^2-7p+4=0 equation:

Simplifying
3p2 + -7p + 4 = 0

Reorder the terms:
4 + -7p + 3p2 = 0

Solving
4 + -7p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(1 + -1p)(4 + -3p) = 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 '(4 + -3p)' equal to zero and attempt to solve:

Simplifying
4 + -3p = 0

Solving
4 + -3p = 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 + -3p = 0 + -4

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

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

Divide each side by '-3'.
p = 1.333333333

Simplifying
p = 1.333333333
Solution
p = {1, 1.333333333}