(5p+1)(5p+1)=

Solution for (5p+1)(5p+1)= equation:

Simplifying
(5p + 1)(5p + 1) = 0

Reorder the terms:
(1 + 5p)(5p + 1) = 0

Reorder the terms:
(1 + 5p)(1 + 5p) = 0

Multiply (1 + 5p) * (1 + 5p)
(1(1 + 5p) + 5p * (1 + 5p)) = 0
((1 * 1 + 5p * 1) + 5p * (1 + 5p)) = 0
((1 + 5p) + 5p * (1 + 5p)) = 0
(1 + 5p + (1 * 5p + 5p * 5p)) = 0
(1 + 5p + (5p + 25p2)) = 0

Combine like terms: 5p + 5p = 10p
(1 + 10p + 25p2) = 0

Solving
1 + 10p + 25p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(1 + 5p)(1 + 5p) = 0

Subproblem 1
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
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 = {-0.2, -0.2}