11p^2+6=6p^2+13p

Solution for 11p^2+6=6p^2+13p equation:

Simplifying
11p2 + 6 = 6p2 + 13p

Reorder the terms:
6 + 11p2 = 6p2 + 13p

Reorder the terms:
6 + 11p2 = 13p + 6p2

Solving
6 + 11p2 = 13p + 6p2

Solving for variable 'p'.

Reorder the terms:
6 + -13p + 11p2 + -6p2 = 13p + 6p2 + -13p + -6p2

Combine like terms: 11p2 + -6p2 = 5p2
6 + -13p + 5p2 = 13p + 6p2 + -13p + -6p2

Reorder the terms:
6 + -13p + 5p2 = 13p + -13p + 6p2 + -6p2

Combine like terms: 13p + -13p = 0
6 + -13p + 5p2 = 0 + 6p2 + -6p2
6 + -13p + 5p2 = 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
6 + -13p + 5p2 = 0

Factor a trinomial.
(3 + -5p)(2 + -1p) = 0

Subproblem 1
Set the factor '(3 + -5p)' equal to zero and attempt to solve:

Simplifying
3 + -5p = 0

Solving
3 + -5p = 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 + -5p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5p = 0 + -3
-5p = 0 + -3

Combine like terms: 0 + -3 = -3
-5p = -3

Divide each side by '-5'.
p = 0.6

Simplifying
p = 0.6
Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

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

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

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

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {0.6, 2}