What is the answer to (100)/((1+x)^1)=-102.9 ?

The answer to (100)/((1+x)^1)=-102.9 is x=-2029/1029

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(100)/((1+x)^1)=-102.9

\frac{100}{( 1 + x ) ^{1}} = - 102.9

x = - \frac{2029}{1029}

Decimal Notation

x = - 1.97181 \dots

Solution steps

\frac{100}{( 1 + x ) ^{1}} = - 102.9

Simplify

\frac{100}{( 1 + x ) ^{1}} : \frac{100}{1 + x}

\frac{100}{1 + x} = - 102.9

Multiply both sides by

1 + x

100 = - 102.9 (1 + x)

Switch sides

- 102.9 (1 + x) = 100

Multiply both sides by

10

- 1029 (1 + x) = 1000

Divide both sides by

- 1029

1 + x = - \frac{1000}{1029}

Move

1

to the right side

x = - \frac{2029}{1029}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - \frac{2029}{1029}

\frac{6 x + 1}{x - 1} = 3

\frac{40}{x + 2} - 15 = - 7

\frac{1}{x} = 3.5

\frac{5}{13} = \frac{65}{x}

6 = \frac{1}{1 - \frac{1}{8} x}

What is the answer to (100)/((1+x)^1)=-102.9 ?
The answer to (100)/((1+x)^1)=-102.9 is x=-2029/1029
Solve for x: (100)/((1+x)^1)=-102.9
The solution is x=-2029/1029