3p^2=10p-3

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

Simplifying
3p2 = 10p + -3

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

Solving
3p2 = -3 + 10p

Solving for variable 'p'.

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

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

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

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

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

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

Simplifying
1 + -3p = 0

Solving
1 + -3p = 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 + -3p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3p = 0 + -1
-3p = 0 + -1

Combine like terms: 0 + -1 = -1
-3p = -1

Divide each side by '-3'.
p = 0.3333333333

Simplifying
p = 0.3333333333
Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

Solving
3 + -1p = 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 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Solution
p = {0.3333333333, 3}