0=((10000-x)*1.01-x)*1.01-x

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Solution for 0=((10000-x)*1.01-x)*1.01-x equation:


Simplifying
0 = ((10000 + -1x) * 1.01 + -1x) * 1.01 + -1x

Reorder the terms for easier multiplication:
0 = (1.01(10000 + -1x) + -1x) * 1.01 + -1x
0 = ((10000 * 1.01 + -1x * 1.01) + -1x) * 1.01 + -1x
0 = ((10100 + -1.01x) + -1x) * 1.01 + -1x

Combine like terms: -1.01x + -1x = -2.01x
0 = (10100 + -2.01x) * 1.01 + -1x

Reorder the terms for easier multiplication:
0 = 1.01(10100 + -2.01x) + -1x
0 = (10100 * 1.01 + -2.01x * 1.01) + -1x
0 = (10201 + -2.0301x) + -1x

Combine like terms: -2.0301x + -1x = -3.0301x
0 = 10201 + -3.0301x

Solving
0 = 10201 + -3.0301x

Solving for variable 'x'.

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

Add '3.0301x' to each side of the equation.
0 + 3.0301x = 10201 + -3.0301x + 3.0301x
Remove the zero:
3.0301x = 10201 + -3.0301x + 3.0301x

Combine like terms: -3.0301x + 3.0301x = 0.0000
3.0301x = 10201 + 0.0000
3.0301x = 10201

Divide each side by '3.0301'.
x = 3366.555559

Simplifying
x = 3366.555559

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