What is the answer to 98= x/(360+x)*100 ?

The answer to 98= x/(360+x)*100 is x=17640

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98= x/(360+x)*100

98 = \frac{x}{360 + x} \cdot 100

x = 17640

Solution steps

98 = \frac{x}{360 + x} \cdot 100

Simplify

\frac{x}{360 + x} \cdot 100 : \frac{100 x}{360 + x}

98 = \frac{100 x}{360 + x}

Multiply both sides by

360 + x

98 (360 + x) = 100 x

Expand

98 (360 + x) : 35280 + 98 x

35280 + 98 x = 100 x

Move

35280

to the right side

98 x = 100 x - 35280

Move

100 x

to the left side

- 2 x = - 35280

Divide both sides by

- 2

x = 17640

Verify Solutions

Find undefined (singularity) points:

x = - 360

Combine undefined points with solutions:

x = 17640

5 x - (\frac{11}{x ^{2}}) = 0

\frac{2}{x} = x^{2} - 2 x - 1

x \cdot \frac{1}{x} = 1

\frac{2 x ^{2} + 5 x - 3}{x + 3} = 7

2^{- 5} = \frac{1}{x}

What is the answer to 98= x/(360+x)*100 ?
The answer to 98= x/(360+x)*100 is x=17640
Solve for x: 98= x/(360+x)*100
The solution is x=17640