(10p+1)(10p-1)=

Solution for (10p+1)(10p-1)= equation:

Simplifying
(10p + 1)(10p + -1) = 0

Reorder the terms:
(1 + 10p)(10p + -1) = 0

Reorder the terms:
(1 + 10p)(-1 + 10p) = 0

Multiply (1 + 10p) * (-1 + 10p)
(1(-1 + 10p) + 10p * (-1 + 10p)) = 0
((-1 * 1 + 10p * 1) + 10p * (-1 + 10p)) = 0
((-1 + 10p) + 10p * (-1 + 10p)) = 0
(-1 + 10p + (-1 * 10p + 10p * 10p)) = 0
(-1 + 10p + (-10p + 100p2)) = 0

Combine like terms: 10p + -10p = 0
(-1 + 0 + 100p2) = 0
(-1 + 100p2) = 0

Solving
-1 + 100p2 = 0

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 1 + 100p2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 100p2 = 0 + 1
100p2 = 0 + 1

Combine like terms: 0 + 1 = 1
100p2 = 1

Divide each side by '100'.
p2 = 0.01

Simplifying
p2 = 0.01

Take the square root of each side:
p = {-0.1, 0.1}