What is the answer to 2/(x^2+5x+6)= 4/(x+2) ?

The answer to 2/(x^2+5x+6)= 4/(x+2) is x=-5/2

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2/(x^2+5x+6)= 4/(x+2)

\frac{2}{x ^{2} + 5 x + 6} = \frac{4}{x + 2}

x = - \frac{5}{2}

Decimal Notation

x = - 2.5

Solution steps

\frac{2}{x ^{2} + 5 x + 6} = \frac{4}{x + 2}

Cross multiply

2 (x + 2) = (x^{2} + 5 x + 6) \cdot 4

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 2

Since the equation is undefined for:

- 2

x = - \frac{5}{2}

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

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

\frac{x}{x + 9} + 1 = - \frac{1}{x + 9}

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

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

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