(R+1)(4r+1)=0

Solution for (R+1)(4r+1)=0 equation:

Simplifying
(R + 1)(4r + 1) = 0

Reorder the terms:
(1 + R)(4r + 1) = 0

Reorder the terms:
(1 + R)(1 + 4r) = 0

Multiply (1 + R) * (1 + 4r)
(1(1 + 4r) + R(1 + 4r)) = 0
((1 * 1 + 4r * 1) + R(1 + 4r)) = 0
((1 + 4r) + R(1 + 4r)) = 0
(1 + 4r + (1 * R + 4r * R)) = 0
(1 + 4r + (1R + 4rR)) = 0

Reorder the terms:
(1 + 1R + 4r + 4rR) = 0
(1 + 1R + 4r + 4rR) = 0

Solving
1 + 1R + 4r + 4rR = 0

Solving for variable 'R'.

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

Add '-1' to each side of the equation.
1 + 1R + 4r + -1 + 4rR = 0 + -1

Reorder the terms:
1 + -1 + 1R + 4r + 4rR = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1R + 4r + 4rR = 0 + -1
1R + 4r + 4rR = 0 + -1

Combine like terms: 0 + -1 = -1
1R + 4r + 4rR = -1

Add '-4r' to each side of the equation.
1R + 4r + -4r + 4rR = -1 + -4r

Combine like terms: 4r + -4r = 0
1R + 0 + 4rR = -1 + -4r
1R + 4rR = -1 + -4r

Reorder the terms:
1 + 1R + 4r + 4rR = -1 + -4r + 1 + 4r

Reorder the terms:
1 + 1R + 4r + 4rR = -1 + 1 + -4r + 4r

Combine like terms: -1 + 1 = 0
1 + 1R + 4r + 4rR = 0 + -4r + 4r
1 + 1R + 4r + 4rR = -4r + 4r

Combine like terms: -4r + 4r = 0
1 + 1R + 4r + 4rR = 0

The solution to this equation could not be determined.