-5p^2-p-90=-10p-6p^2

Solution for -5p^2-p-90=-10p-6p^2 equation:

Simplifying
-5p2 + -1p + -90 = -10p + -6p2

Reorder the terms:
-90 + -1p + -5p2 = -10p + -6p2

Solving
-90 + -1p + -5p2 = -10p + -6p2

Solving for variable 'p'.

Reorder the terms:
-90 + -1p + 10p + -5p2 + 6p2 = -10p + -6p2 + 10p + 6p2

Combine like terms: -1p + 10p = 9p
-90 + 9p + -5p2 + 6p2 = -10p + -6p2 + 10p + 6p2

Combine like terms: -5p2 + 6p2 = 1p2
-90 + 9p + 1p2 = -10p + -6p2 + 10p + 6p2

Reorder the terms:
-90 + 9p + 1p2 = -10p + 10p + -6p2 + 6p2

Combine like terms: -10p + 10p = 0
-90 + 9p + 1p2 = 0 + -6p2 + 6p2
-90 + 9p + 1p2 = -6p2 + 6p2

Combine like terms: -6p2 + 6p2 = 0
-90 + 9p + 1p2 = 0

Factor a trinomial.
(-15 + -1p)(6 + -1p) = 0

Subproblem 1
Set the factor '(-15 + -1p)' equal to zero and attempt to solve:

Simplifying
-15 + -1p = 0

Solving
-15 + -1p = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1p = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1p = 0 + 15
-1p = 0 + 15

Combine like terms: 0 + 15 = 15
-1p = 15

Divide each side by '-1'.
p = -15

Simplifying
p = -15
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 = {-15, 6}