10(p^2-1)=21p

Solution for 10(p^2-1)=21p equation:

Simplifying
10(p2 + -1) = 21p

Reorder the terms:
10(-1 + p2) = 21p
(-1 * 10 + p2 * 10) = 21p
(-10 + 10p2) = 21p

Solving
-10 + 10p2 = 21p

Solving for variable 'p'.

Reorder the terms:
-10 + -21p + 10p2 = 21p + -21p

Combine like terms: 21p + -21p = 0
-10 + -21p + 10p2 = 0

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

Subproblem 1
Set the factor '(-2 + -5p)' equal to zero and attempt to solve:

Simplifying
-2 + -5p = 0

Solving
-2 + -5p = 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 + -5p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5p = 0 + 2
-5p = 0 + 2

Combine like terms: 0 + 2 = 2
-5p = 2

Divide each side by '-5'.
p = -0.4

Simplifying
p = -0.4
Subproblem 2
Set the factor '(5 + -2p)' equal to zero and attempt to solve:

Simplifying
5 + -2p = 0

Solving
5 + -2p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2p = 0 + -5
-2p = 0 + -5

Combine like terms: 0 + -5 = -5
-2p = -5

Divide each side by '-2'.
p = 2.5

Simplifying
p = 2.5
Solution
p = {-0.4, 2.5}