What is the answer to (-1)/(2x+1)=-x+8 ?

The answer to (-1)/(2x+1)=-x+8 is x=-(-15+3sqrt(33))/4 ,x=(15+3sqrt(33))/4

Solve for x: (-1)/(2x+1)=-x+8

The solution is x=-(-15+3sqrt(33))/4 ,x=(15+3sqrt(33))/4

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\frac{- 1}{2 x + 1} = - x + 8

x = - \frac{- 15 + 3 33}{4}, x = \frac{15 + 3 33}{4}

Decimal Notation

x = - 0.55842 \dots, x = 8.05842 \dots

Solution steps

\frac{- 1}{2 x + 1} = - x + 8

Simplify

\frac{- 1}{2 x + 1} : - \frac{1}{2 x + 1}

- \frac{1}{2 x + 1} = - x + 8

Multiply both sides by

2 x + 1

- 1 = - x (2 x + 1) + 8 (2 x + 1)

Solve

- 1 = - x (2 x + 1) + 8 (2 x + 1) : x = - \frac{- 15 + 3 33}{4}, x = \frac{15 + 3 33}{4}

x = - \frac{- 15 + 3 33}{4}, x = \frac{15 + 3 33}{4}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x = - \frac{- 15 + 3 33}{4}, x = \frac{15 + 3 33}{4}

f, f^{- 1} (x) = e^{2 x - 1}

y, - \frac{1}{y - 1} = x

\frac{5}{x} = \frac{20}{x} + 3

1.1 = 2 - \frac{1}{x}

\frac{5}{3} = \frac{10}{x}

What is the answer to (-1)/(2x+1)=-x+8 ?
The answer to (-1)/(2x+1)=-x+8 is x=-(-15+3sqrt(33))/4 ,x=(15+3sqrt(33))/4
Solve for x: (-1)/(2x+1)=-x+8
The solution is x=-(-15+3sqrt(33))/4 ,x=(15+3sqrt(33))/4