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

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

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(sqrt(2x+5)-3)/((sqrt(2x+5)))=-2

\frac{2 x + 5 - 3}{( 2 x + 5 )} = - 2

x = - 2

Solution steps

\frac{2 x + 5 - 3}{( 2 x + 5 )} = - 2

Multiply both sides by

2 x + 5

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

Simplify

2 x + 5 - 3 = - 2 2 x + 5

Move

3

to the right side

2 x + 5 = - 2 2 x + 5 + 3

Move

2 2 x + 5

to the left side

3 2 x + 5 = 3

Divide both sides by

3

2 x + 5 = 1

Square both sides:

2 x + 5 = 1

2 x + 5 = 1

Solve

2 x + 5 = 1 : x = - 2

x = - 2

Verify Solutions:

x = - 2

True

The solution is

x = - 2

c \cdot x^{2} + x + 1 = 1

x + x = 6

x + 6 = 5

x + 6 = 1

x, x + y + x + y = 30

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