What is the answer to sqrt(3-2x)=2x+3 ?

The answer to sqrt(3-2x)=2x+3 is x=-1/2

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sqrt(3-2x)=2x+3

3 - 2 x = 2 x + 3

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

3 - 2 x = 2 x + 3

Square both sides:

3 - 2 x = 4 x^{2} + 12 x + 9

3 - 2 x = 4 x^{2} + 12 x + 9

Solve

3 - 2 x = 4 x^{2} + 12 x + 9 : x = - \frac{1}{2}, x = - 3

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

Verify Solutions:

x = - \frac{1}{2}

True

, x = - 3

False

The solution is

x = - \frac{1}{2}

x - x + 1 = 1

x - 5 - x = - 7

1 + x + 14 + 2 = - \frac{3}{5} \cdot x + 3

2 x = - 3 - x

x + 5 - x - 5 = 1