10p^2+90p-100=0

Solution for 10p^2+90p-100=0 equation:

Simplifying
10p2 + 90p + -100 = 0

Reorder the terms:
-100 + 90p + 10p2 = 0

Solving
-100 + 90p + 10p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-10 + 9p + p2) = 0

Factor a trinomial.
10((-10 + -1p)(1 + -1p)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(-10 + -1p)' equal to zero and attempt to solve:

Simplifying
-10 + -1p = 0

Solving
-10 + -1p = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1p = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1p = 0 + 10
-1p = 0 + 10

Combine like terms: 0 + 10 = 10
-1p = 10

Divide each side by '-1'.
p = -10

Simplifying
p = -10
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

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

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

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

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

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

Simplifying
p = 1
Solution
p = {-10, 1}