What is the answer to (-15)/(4-17x)=9+10x ?

The answer to (-15)/(4-17x)=9+10x is x=-(113+sqrt(47449))/(340),x=(sqrt(47449)-113)/(340)

Solve for x: (-15)/(4-17x)=9+10x

The solution is x=-(113+sqrt(47449))/(340),x=(sqrt(47449)-113)/(340)

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\frac{- 15}{4 - 17 x} = 9 + 10 x

x = - \frac{113 + 47449}{340}, x = \frac{47449 - 113}{340}

Decimal Notation

x = - 0.97302 \dots, x = 0.30831 \dots

Solution steps

\frac{- 15}{4 - 17 x} = 9 + 10 x

Simplify

\frac{- 15}{4 - 17 x} : - \frac{15}{4 - 17 x}

- \frac{15}{4 - 17 x} = 9 + 10 x

Multiply both sides by

4 - 17 x

- 15 = 9 (4 - 17 x) + 10 x (4 - 17 x)

Solve

- 15 = 9 (4 - 17 x) + 10 x (4 - 17 x) : x = - \frac{113 + 47449}{340}, x = \frac{47449 - 113}{340}

x = - \frac{113 + 47449}{340}, x = \frac{47449 - 113}{340}

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{17}

Combine undefined points with solutions:

x = - \frac{113 + 47449}{340}, x = \frac{47449 - 113}{340}

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What is the answer to (-15)/(4-17x)=9+10x ?
The answer to (-15)/(4-17x)=9+10x is x=-(113+sqrt(47449))/(340),x=(sqrt(47449)-113)/(340)
Solve for x: (-15)/(4-17x)=9+10x
The solution is x=-(113+sqrt(47449))/(340),x=(sqrt(47449)-113)/(340)