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

The answer to (3x+4)/(2x-5)=(5x+4)/(2x-3) is x=2-sqrt(6),x=2+sqrt(6)

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

The solution is x=2-sqrt(6),x=2+sqrt(6)

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

x = 2 - 6, x = 2 + 6

Decimal Notation

x = - 0.44948 \dots, x = 4.44948 \dots

Solution steps

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

Cross multiply

(3 x + 4) (2 x - 3) = (2 x - 5) (5 x + 4)

Solve

(3 x + 4) (2 x - 3) = (2 x - 5) (5 x + 4) : x = 2 - 6, x = 2 + 6

x = 2 - 6, x = 2 + 6

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{2}, x = \frac{3}{2}

Combine undefined points with solutions:

x = 2 - 6, x = 2 + 6

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

x + \frac{50}{x} = 27

N, 5 d + g = \frac{b}{N}

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

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

What is the answer to (3x+4)/(2x-5)=(5x+4)/(2x-3) ?
The answer to (3x+4)/(2x-5)=(5x+4)/(2x-3) is x=2-sqrt(6),x=2+sqrt(6)
Solve for x: (3x+4)/(2x-5)=(5x+4)/(2x-3)
The solution is x=2-sqrt(6),x=2+sqrt(6)