3p^2-10p-42=6

Solution for 3p^2-10p-42=6 equation:

Simplifying
3p2 + -10p + -42 = 6

Reorder the terms:
-42 + -10p + 3p2 = 6

Solving
-42 + -10p + 3p2 = 6

Solving for variable 'p'.

Reorder the terms:
-42 + -6 + -10p + 3p2 = 6 + -6

Combine like terms: -42 + -6 = -48
-48 + -10p + 3p2 = 6 + -6

Combine like terms: 6 + -6 = 0
-48 + -10p + 3p2 = 0

Factor a trinomial.
(-8 + -3p)(6 + -1p) = 0

Subproblem 1
Set the factor '(-8 + -3p)' equal to zero and attempt to solve:

Simplifying
-8 + -3p = 0

Solving
-8 + -3p = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3p = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3p = 0 + 8
-3p = 0 + 8

Combine like terms: 0 + 8 = 8
-3p = 8

Divide each side by '-3'.
p = -2.666666667

Simplifying
p = -2.666666667
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 = {-2.666666667, 6}