What is the answer to 1.5x+3= 3/(2x+3) ?

The answer to 1.5x+3= 3/(2x+3) is x=(-7+sqrt(17))/4 ,x=-(7+sqrt(17))/4

Solve for x: 1.5x+3= 3/(2x+3)

The solution is x=(-7+sqrt(17))/4 ,x=-(7+sqrt(17))/4

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

x = \frac{- 7 + 17}{4}, x = - \frac{7 + 17}{4}

Decimal Notation

x = - 0.71922 \dots, x = - 2.78077 \dots

Solution steps

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

Multiply both sides by

10

15 x + 30 = \frac{30}{2 x + 3}

Multiply both sides by

2 x + 3

15 x (2 x + 3) + 30 (2 x + 3) = 30

Solve

15 x (2 x + 3) + 30 (2 x + 3) = 30 : x = \frac{- 7 + 17}{4}, x = - \frac{7 + 17}{4}

x = \frac{- 7 + 17}{4}, x = - \frac{7 + 17}{4}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{3}{2}

Combine undefined points with solutions:

x = \frac{- 7 + 17}{4}, x = - \frac{7 + 17}{4}

y, x = \frac{4 y - 2}{1 - y}

15 = \frac{x}{470 + x} \cdot 20

\frac{m}{m + 3} = \frac{10}{6}

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

2 + 200 Q^{- 2} = 0

What is the answer to 1.5x+3= 3/(2x+3) ?
The answer to 1.5x+3= 3/(2x+3) is x=(-7+sqrt(17))/4 ,x=-(7+sqrt(17))/4
Solve for x: 1.5x+3= 3/(2x+3)
The solution is x=(-7+sqrt(17))/4 ,x=-(7+sqrt(17))/4