1.01x(1+r)=1.0181

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Solution for 1.01x(1+r)=1.0181 equation: 


Simplifying
1.01x(1 + r) = 1.0181
(1 * 1.01x + r * 1.01x) = 1.0181

Reorder the terms:
(1.01rx + 1.01x) = 1.0181
(1.01rx + 1.01x) = 1.0181

Solving
1.01rx + 1.01x = 1.0181

Solving for variable 'r'.

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

Add '-1.01x' to each side of the equation.
1.01rx + 1.01x + -1.01x = 1.0181 + -1.01x

Combine like terms: 1.01x + -1.01x = 0.00
1.01rx + 0.00 = 1.0181 + -1.01x
1.01rx = 1.0181 + -1.01x

Divide each side by '1.01x'.
r = 1.008019802x-1 + -1

Simplifying
r = 1.008019802x-1 + -1

Reorder the terms:
r = -1 + 1.008019802x-1

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