8p^2-43p=30

Solution for 8p^2-43p=30 equation:

Simplifying
8p2 + -43p = 30

Reorder the terms:
-43p + 8p2 = 30

Solving
-43p + 8p2 = 30

Solving for variable 'p'.

Reorder the terms:
-30 + -43p + 8p2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -43p + 8p2 = 0

Factor a trinomial.
(-5 + -8p)(6 + -1p) = 0

Subproblem 1
Set the factor '(-5 + -8p)' equal to zero and attempt to solve:

Simplifying
-5 + -8p = 0

Solving
-5 + -8p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -8p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8p = 0 + 5
-8p = 0 + 5

Combine like terms: 0 + 5 = 5
-8p = 5

Divide each side by '-8'.
p = -0.625

Simplifying
p = -0.625
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

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

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

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-0.625, 6}