17p=7p^2+6

Solution for 17p=7p^2+6 equation:

Simplifying
17p = 7p2 + 6

Reorder the terms:
17p = 6 + 7p2

Solving
17p = 6 + 7p2

Solving for variable 'p'.

Reorder the terms:
-6 + 17p + -7p2 = 6 + 7p2 + -6 + -7p2

Reorder the terms:
-6 + 17p + -7p2 = 6 + -6 + 7p2 + -7p2

Combine like terms: 6 + -6 = 0
-6 + 17p + -7p2 = 0 + 7p2 + -7p2
-6 + 17p + -7p2 = 7p2 + -7p2

Combine like terms: 7p2 + -7p2 = 0
-6 + 17p + -7p2 = 0

Factor a trinomial.
(-2 + p)(3 + -7p) = 0

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

Simplifying
-2 + p = 0

Solving
-2 + p = 0

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

Add '2' to each side of the equation.
-2 + 2 + p = 0 + 2

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

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

Simplifying
p = 2
Subproblem 2
Set the factor '(3 + -7p)' equal to zero and attempt to solve:

Simplifying
3 + -7p = 0

Solving
3 + -7p = 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 + -7p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7p = 0 + -3
-7p = 0 + -3

Combine like terms: 0 + -3 = -3
-7p = -3

Divide each side by '-7'.
p = 0.4285714286

Simplifying
p = 0.4285714286
Solution
p = {2, 0.4285714286}