What is the answer to 5/(4x)-(x+2)/3 =x-1 ?

The answer to 5/(4x)-(x+2)/3 =x-1 is x=-(-1+sqrt(61))/8 ,x=(1+sqrt(61))/8

Solve for x: 5/(4x)-(x+2)/3 =x-1

The solution is x=-(-1+sqrt(61))/8 ,x=(1+sqrt(61))/8

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\frac{5}{4 x} - \frac{x + 2}{3} = x - 1

x = - \frac{- 1 + 61}{8}, x = \frac{1 + 61}{8}

Decimal Notation

x = - 0.85128 \dots, x = 1.10128 \dots

Solution steps

\frac{5}{4 x} - \frac{x + 2}{3} = x - 1

Multiply by LCM

15 - 4 x (x + 2) = 12 x^{2} - 12 x

Solve

15 - 4 x (x + 2) = 12 x^{2} - 12 x : x = - \frac{- 1 + 61}{8}, x = \frac{1 + 61}{8}

x = - \frac{- 1 + 61}{8}, x = \frac{1 + 61}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{- 1 + 61}{8}, x = \frac{1 + 61}{8}

20 = \frac{x ^{2}}{35 - x}

\frac{- 2}{30} = \frac{3}{x}

\frac{6}{a - 3} = 2

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

\frac{2}{9} = \frac{3}{n + 10}

What is the answer to 5/(4x)-(x+2)/3 =x-1 ?
The answer to 5/(4x)-(x+2)/3 =x-1 is x=-(-1+sqrt(61))/8 ,x=(1+sqrt(61))/8
Solve for x: 5/(4x)-(x+2)/3 =x-1
The solution is x=-(-1+sqrt(61))/8 ,x=(1+sqrt(61))/8