25p^2+30p+9=1

Solution for 25p^2+30p+9=1 equation:

Simplifying
25p2 + 30p + 9 = 1

Reorder the terms:
9 + 30p + 25p2 = 1

Solving
9 + 30p + 25p2 = 1

Solving for variable 'p'.

Reorder the terms:
9 + -1 + 30p + 25p2 = 1 + -1

Combine like terms: 9 + -1 = 8
8 + 30p + 25p2 = 1 + -1

Combine like terms: 1 + -1 = 0
8 + 30p + 25p2 = 0

Factor a trinomial.
(4 + 5p)(2 + 5p) = 0

Subproblem 1
Set the factor '(4 + 5p)' equal to zero and attempt to solve:

Simplifying
4 + 5p = 0

Solving
4 + 5p = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5p = 0 + -4
5p = 0 + -4

Combine like terms: 0 + -4 = -4
5p = -4

Divide each side by '5'.
p = -0.8

Simplifying
p = -0.8
Subproblem 2
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
Solution
p = {-0.8, -0.4}