What is the answer to 1/(2x+3)=-x+7 ?

The answer to 1/(2x+3)=-x+7 is x=-(-11+sqrt(281))/4 ,x=(11+sqrt(281))/4

Solve for x: 1/(2x+3)=-x+7

The solution is x=-(-11+sqrt(281))/4 ,x=(11+sqrt(281))/4

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\frac{1}{2 x + 3} = - x + 7

x = - \frac{- 11 + 281}{4}, x = \frac{11 + 281}{4}

Decimal Notation

x = - 1.44076 \dots, x = 6.94076 \dots

Solution steps

\frac{1}{2 x + 3} = - x + 7

Multiply both sides by

2 x + 3

1 = - x (2 x + 3) + 7 (2 x + 3)

Solve

1 = - x (2 x + 3) + 7 (2 x + 3) : x = - \frac{- 11 + 281}{4}, x = \frac{11 + 281}{4}

x = - \frac{- 11 + 281}{4}, x = \frac{11 + 281}{4}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{3}{2}

Combine undefined points with solutions:

x = - \frac{- 11 + 281}{4}, x = \frac{11 + 281}{4}

x + \frac{3}{x} = - 4

1 + \frac{x}{x - 8} = \frac{4}{x - 8}

\frac{3}{x} - \frac{2}{2 x} = \frac{1}{3}

\frac{5}{2 x + 6} - \frac{1}{6} = \frac{2}{x + 4}

\frac{2 x - 1}{x + 7} = \frac{3 x + 4}{x - 1}

What is the answer to 1/(2x+3)=-x+7 ?
The answer to 1/(2x+3)=-x+7 is x=-(-11+sqrt(281))/4 ,x=(11+sqrt(281))/4
Solve for x: 1/(2x+3)=-x+7
The solution is x=-(-11+sqrt(281))/4 ,x=(11+sqrt(281))/4