0=6p^2+43p

Solution for 0=6p^2+43p equation:

Simplifying
0 = 6p2 + 43p

Reorder the terms:
0 = 43p + 6p2

Solving
0 = 43p + 6p2

Solving for variable 'p'.
Remove the zero:
-43p + -6p2 = 43p + 6p2 + -43p + -6p2

Reorder the terms:
-43p + -6p2 = 43p + -43p + 6p2 + -6p2

Combine like terms: 43p + -43p = 0
-43p + -6p2 = 0 + 6p2 + -6p2
-43p + -6p2 = 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
-43p + -6p2 = 0

Factor out the Greatest Common Factor (GCF), '-1p'.
-1p(43 + 6p) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(43 + 6p)' equal to zero and attempt to solve:

Simplifying
43 + 6p = 0

Solving
43 + 6p = 0

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

Add '-43' to each side of the equation.
43 + -43 + 6p = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 6p = 0 + -43
6p = 0 + -43

Combine like terms: 0 + -43 = -43
6p = -43

Divide each side by '6'.
p = -7.166666667

Simplifying
p = -7.166666667
Solution
p = {0, -7.166666667}