What is the answer to 2-3/(x+4)=(12)/(x^2+4x) ?

The answer to 2-3/(x+4)=(12)/(x^2+4x) is x= 3/2

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2-3/(x+4)=(12)/(x^2+4x)

2 - \frac{3}{x + 4} = \frac{12}{x ^{2} + 4 x}

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

2 - \frac{3}{x + 4} = \frac{12}{x ^{2} + 4 x}

Multiply by LCM

2 x (x + 4) - 3 x = 12

Solve

2 x (x + 4) - 3 x = 12 : x = \frac{3}{2}, x = - 4

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

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 0

Since the equation is undefined for:

- 4

x = \frac{3}{2}

\frac{1}{2 h} + \frac{5}{h} = \frac{3}{h - 1}

x + \frac{7}{x - 6} = 2 x

y, \frac{55 x - 135 y}{26 y - 148 x} = \frac{5}{2}

\frac{- 5 x + 3}{7 x - 9} - \frac{4 x + 9}{- 7 x + 9} = 2

\frac{6}{x} + \frac{3}{x ^{2}} = \frac{9}{x}

What is the answer to 2-3/(x+4)=(12)/(x^2+4x) ?
The answer to 2-3/(x+4)=(12)/(x^2+4x) is x= 3/2
Solve for x: 2-3/(x+4)=(12)/(x^2+4x)
The solution is x= 3/2