10p^2-9=9p

Solution for 10p^2-9=9p equation:

Simplifying
10p2 + -9 = 9p

Reorder the terms:
-9 + 10p2 = 9p

Solving
-9 + 10p2 = 9p

Solving for variable 'p'.

Reorder the terms:
-9 + -9p + 10p2 = 9p + -9p

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

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

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 '(3 + -2p)' equal to zero and attempt to solve:

Simplifying
3 + -2p = 0

Solving
3 + -2p = 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 + -2p = 0 + -3

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

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

Divide each side by '-2'.
p = 1.5

Simplifying
p = 1.5
Solution
p = {-0.6, 1.5}