(1+9r)(1+9r)=

Solution for (1+9r)(1+9r)= equation:

Simplifying
(1 + 9r)(1 + 9r) = 0

Multiply (1 + 9r) * (1 + 9r)
(1(1 + 9r) + 9r * (1 + 9r)) = 0
((1 * 1 + 9r * 1) + 9r * (1 + 9r)) = 0
((1 + 9r) + 9r * (1 + 9r)) = 0
(1 + 9r + (1 * 9r + 9r * 9r)) = 0
(1 + 9r + (9r + 81r2)) = 0

Combine like terms: 9r + 9r = 18r
(1 + 18r + 81r2) = 0

Solving
1 + 18r + 81r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(1 + 9r)(1 + 9r) = 0

Subproblem 1
Set the factor '(1 + 9r)' equal to zero and attempt to solve:

Simplifying
1 + 9r = 0

Solving
1 + 9r = 0

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

Add '-1' to each side of the equation.
1 + -1 + 9r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9r = 0 + -1
9r = 0 + -1

Combine like terms: 0 + -1 = -1
9r = -1

Divide each side by '9'.
r = -0.1111111111

Simplifying
r = -0.1111111111
Subproblem 2
Set the factor '(1 + 9r)' equal to zero and attempt to solve:

Simplifying
1 + 9r = 0

Solving
1 + 9r = 0

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

Add '-1' to each side of the equation.
1 + -1 + 9r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9r = 0 + -1
9r = 0 + -1

Combine like terms: 0 + -1 = -1
9r = -1

Divide each side by '9'.
r = -0.1111111111

Simplifying
r = -0.1111111111
Solution
r = {-0.1111111111, -0.1111111111}