6p^2-23p+10=

Solution for 6p^2-23p+10= equation:

Simplifying
6p2 + -23p + 10 = 0

Reorder the terms:
10 + -23p + 6p2 = 0

Solving
10 + -23p + 6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(1 + -2p)(10 + -3p) = 0

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

Simplifying
1 + -2p = 0

Solving
1 + -2p = 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 + -2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2p = 0 + -1
-2p = 0 + -1

Combine like terms: 0 + -1 = -1
-2p = -1

Divide each side by '-2'.
p = 0.5

Simplifying
p = 0.5
Subproblem 2
Set the factor '(10 + -3p)' equal to zero and attempt to solve:

Simplifying
10 + -3p = 0

Solving
10 + -3p = 0

Move all terms containing p to the left, all other terms to the right.

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

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

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

Divide each side by '-3'.
p = 3.333333333

Simplifying
p = 3.333333333
Solution
p = {0.5, 3.333333333}