10p^2-8p+3=6p^2

Solution for 10p^2-8p+3=6p^2 equation:

Simplifying
10p2 + -8p + 3 = 6p2

Reorder the terms:
3 + -8p + 10p2 = 6p2

Solving
3 + -8p + 10p2 = 6p2

Solving for variable 'p'.

Combine like terms: 10p2 + -6p2 = 4p2
3 + -8p + 4p2 = 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
3 + -8p + 4p2 = 0

Factor a trinomial.
(1 + -2p)(3 + -2p) = 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 '(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 = {0.5, 1.5}