8p^2=-26p-6

Solution for 8p^2=-26p-6 equation:

Simplifying
8p2 = -26p + -6

Reorder the terms:
8p2 = -6 + -26p

Solving
8p2 = -6 + -26p

Solving for variable 'p'.

Reorder the terms:
6 + 26p + 8p2 = -6 + -26p + 6 + 26p

Reorder the terms:
6 + 26p + 8p2 = -6 + 6 + -26p + 26p

Combine like terms: -6 + 6 = 0
6 + 26p + 8p2 = 0 + -26p + 26p
6 + 26p + 8p2 = -26p + 26p

Combine like terms: -26p + 26p = 0
6 + 26p + 8p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 13p + 4p2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

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

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

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

Simplifying
p = -3
Subproblem 2
Set the factor '(1 + 4p)' equal to zero and attempt to solve:

Simplifying
1 + 4p = 0

Solving
1 + 4p = 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 + 4p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4p = 0 + -1
4p = 0 + -1

Combine like terms: 0 + -1 = -1
4p = -1

Divide each side by '4'.
p = -0.25

Simplifying
p = -0.25
Solution
p = {-3, -0.25}