5.27=0.0509x(1-0.0509)

Solution for 5.27=0.0509x(1-0.0509) equation:

Simplifying
5.27 = 0.0509x(1 + -0.0509)

Combine like terms: 1 + -0.0509 = 0.9491
5.27 = 0.0509x(0.9491)

Reorder the terms for easier multiplication:
5.27 = 0.0509 * 0.9491x

Multiply 0.0509 * 0.9491
5.27 = 0.04830919x

Solving
5.27 = 0.04830919x

Solving for variable 'x'.

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

Add '-0.04830919x' to each side of the equation.
5.27 + -0.04830919x = 0.04830919x + -0.04830919x

Combine like terms: 0.04830919x + -0.04830919x = 0.00000000
5.27 + -0.04830919x = 0.00000000

Add '-5.27' to each side of the equation.
5.27 + -5.27 + -0.04830919x = 0.00000000 + -5.27

Combine like terms: 5.27 + -5.27 = 0.00
0.00 + -0.04830919x = 0.00000000 + -5.27
-0.04830919x = 0.00000000 + -5.27

Combine like terms: 0.00000000 + -5.27 = -5.27
-0.04830919x = -5.27

Divide each side by '-0.04830919'.
x = 109.0889746

Simplifying
x = 109.0889746