5p^2-23p-42=0

Solution for 5p^2-23p-42=0 equation:

Simplifying
5p2 + -23p + -42 = 0

Reorder the terms:
-42 + -23p + 5p2 = 0

Solving
-42 + -23p + 5p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7 + -5p)(6 + -1p) = 0

Subproblem 1
Set the factor '(-7 + -5p)' equal to zero and attempt to solve:

Simplifying
-7 + -5p = 0

Solving
-7 + -5p = 0

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

Add '7' to each side of the equation.
-7 + 7 + -5p = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5p = 0 + 7
-5p = 0 + 7

Combine like terms: 0 + 7 = 7
-5p = 7

Divide each side by '-5'.
p = -1.4

Simplifying
p = -1.4
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 = {-1.4, 6}