6p^2=-7p-1

Solution for 6p^2=-7p-1 equation:

Simplifying
6p2 = -7p + -1

Reorder the terms:
6p2 = -1 + -7p

Solving
6p2 = -1 + -7p

Solving for variable 'p'.

Reorder the terms:
1 + 7p + 6p2 = -1 + -7p + 1 + 7p

Reorder the terms:
1 + 7p + 6p2 = -1 + 1 + -7p + 7p

Combine like terms: -1 + 1 = 0
1 + 7p + 6p2 = 0 + -7p + 7p
1 + 7p + 6p2 = -7p + 7p

Combine like terms: -7p + 7p = 0
1 + 7p + 6p2 = 0

Factor a trinomial.
(1 + p)(1 + 6p) = 0

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

Simplifying
1 + p = 0

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

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

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

Simplifying
p = -1
Subproblem 2
Set the factor '(1 + 6p)' equal to zero and attempt to solve:

Simplifying
1 + 6p = 0

Solving
1 + 6p = 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 + 6p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6p = 0 + -1
6p = 0 + -1

Combine like terms: 0 + -1 = -1
6p = -1

Divide each side by '6'.
p = -0.1666666667

Simplifying
p = -0.1666666667
Solution
p = {-1, -0.1666666667}