8p^2+2p=3

Solution for 8p^2+2p=3 equation:

Simplifying
8p2 + 2p = 3

Reorder the terms:
2p + 8p2 = 3

Solving
2p + 8p2 = 3

Solving for variable 'p'.

Reorder the terms:
-3 + 2p + 8p2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 2p + 8p2 = 0

Factor a trinomial.
(-3 + -4p)(1 + -2p) = 0

Subproblem 1
Set the factor '(-3 + -4p)' equal to zero and attempt to solve:

Simplifying
-3 + -4p = 0

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

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

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

Divide each side by '-4'.
p = -0.75

Simplifying
p = -0.75
Subproblem 2
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
Solution
p = {-0.75, 0.5}