What is the answer to x/(2x-6)=(x+8)/(15) ?

The answer to x/(2x-6)=(x+8)/(15) is x=(5+sqrt(409))/4 ,x=(5-sqrt(409))/4

Solve for x: x/(2x-6)=(x+8)/(15)

The solution is x=(5+sqrt(409))/4 ,x=(5-sqrt(409))/4

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\frac{x}{2 x - 6} = \frac{x + 8}{15}

x = \frac{5 + 409}{4}, x = \frac{5 - 409}{4}

Decimal Notation

x = 6.30593 \dots, x = - 3.80593 \dots

Solution steps

\frac{x}{2 x - 6} = \frac{x + 8}{15}

Cross multiply

x \cdot 15 = (2 x - 6) (x + 8)

Solve

x \cdot 15 = (2 x - 6) (x + 8) : x = \frac{5 + 409}{4}, x = \frac{5 - 409}{4}

x = \frac{5 + 409}{4}, x = \frac{5 - 409}{4}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{5 + 409}{4}, x = \frac{5 - 409}{4}

\frac{12}{x} = \frac{x}{3}

n, \frac{P V}{n} = RT

a, u = b + \frac{k}{a}

4 = x^{- 2}

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

What is the answer to x/(2x-6)=(x+8)/(15) ?
The answer to x/(2x-6)=(x+8)/(15) is x=(5+sqrt(409))/4 ,x=(5-sqrt(409))/4
Solve for x: x/(2x-6)=(x+8)/(15)
The solution is x=(5+sqrt(409))/4 ,x=(5-sqrt(409))/4