What is the answer to 1+(x^2-5x-24)/(3x)=(x-6)/(3x) ?

The answer to 1+(x^2-5x-24)/(3x)=(x-6)/(3x) is x=6,x=-3

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1+(x^2-5x-24)/(3x)=(x-6)/(3x)

1 + \frac{x ^{2} - 5 x - 24}{3 x} = \frac{x - 6}{3 x}

x = 6, x = - 3

Solution steps

1 + \frac{x ^{2} - 5 x - 24}{3 x} = \frac{x - 6}{3 x}

Multiply both sides by

3 x

x^{2} - 2 x - 24 = x - 6

Solve

x^{2} - 2 x - 24 = x - 6 : x = 6, x = - 3

x = 6, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = - 3

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

\frac{7}{x} = \frac{21}{9}

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

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

\frac{n + 5}{n + 8} = 1 + \frac{6}{n + 1}

What is the answer to 1+(x^2-5x-24)/(3x)=(x-6)/(3x) ?
The answer to 1+(x^2-5x-24)/(3x)=(x-6)/(3x) is x=6,x=-3
Solve for x: 1+(x^2-5x-24)/(3x)=(x-6)/(3x)
The solution is x=6,x=-3