105p^2-7p-42=

Solution for 105p^2-7p-42= equation:

Simplifying
105p2 + -7p + -42 = 0

Reorder the terms:
-42 + -7p + 105p2 = 0

Solving
-42 + -7p + 105p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-6 + -1p + 15p2) = 0

Factor a trinomial.
7((-3 + -5p)(2 + -3p)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-3 + -5p)' equal to zero and attempt to solve:

Simplifying
-3 + -5p = 0

Solving
-3 + -5p = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5p = 0 + 3
-5p = 0 + 3

Combine like terms: 0 + 3 = 3
-5p = 3

Divide each side by '-5'.
p = -0.6

Simplifying
p = -0.6
Subproblem 2
Set the factor '(2 + -3p)' equal to zero and attempt to solve:

Simplifying
2 + -3p = 0

Solving
2 + -3p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3p = 0 + -2
-3p = 0 + -2

Combine like terms: 0 + -2 = -2
-3p = -2

Divide each side by '-3'.
p = 0.6666666667

Simplifying
p = 0.6666666667
Solution
p = {-0.6, 0.6666666667}