25p^2=-2-15p

Solution for 25p^2=-2-15p equation:

Simplifying
25p2 = -2 + -15p

Solving
25p2 = -2 + -15p

Solving for variable 'p'.

Reorder the terms:
2 + 15p + 25p2 = -2 + -15p + 2 + 15p

Reorder the terms:
2 + 15p + 25p2 = -2 + 2 + -15p + 15p

Combine like terms: -2 + 2 = 0
2 + 15p + 25p2 = 0 + -15p + 15p
2 + 15p + 25p2 = -15p + 15p

Combine like terms: -15p + 15p = 0
2 + 15p + 25p2 = 0

Factor a trinomial.
(2 + 5p)(1 + 5p) = 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 '(1 + 5p)' equal to zero and attempt to solve:

Simplifying
1 + 5p = 0

Solving
1 + 5p = 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 + 5p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5p = 0 + -1
5p = 0 + -1

Combine like terms: 0 + -1 = -1
5p = -1

Divide each side by '5'.
p = -0.2

Simplifying
p = -0.2
Solution
p = {-0.4, -0.2}