What is the answer to 1/(2x+2)=2x-4 ?

The answer to 1/(2x+2)=2x-4 is x=(1+sqrt(10))/2 ,x=(1-sqrt(10))/2

Solve for x: 1/(2x+2)=2x-4

The solution is x=(1+sqrt(10))/2 ,x=(1-sqrt(10))/2

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\frac{1}{2 x + 2} = 2 x - 4

x = \frac{1 + 10}{2}, x = \frac{1 - 10}{2}

Decimal Notation

x = 2.08113 \dots, x = - 1.08113 \dots

Solution steps

\frac{1}{2 x + 2} = 2 x - 4

Multiply both sides by

2 x + 2

1 = 2 x (2 x + 2) - 4 (2 x + 2)

Solve

1 = 2 x (2 x + 2) - 4 (2 x + 2) : x = \frac{1 + 10}{2}, x = \frac{1 - 10}{2}

x = \frac{1 + 10}{2}, x = \frac{1 - 10}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{1 + 10}{2}, x = \frac{1 - 10}{2}

\frac{x ( - 3 ) ^{2}}{x ^{2}} = 3

x, y = \frac{9 f + 3 b}{x}

\frac{9}{x} = \frac{6}{10}

\frac{3}{x ^{2}} = 20

\frac{- 2}{x ^{3}} = 0

What is the answer to 1/(2x+2)=2x-4 ?
The answer to 1/(2x+2)=2x-4 is x=(1+sqrt(10))/2 ,x=(1-sqrt(10))/2
Solve for x: 1/(2x+2)=2x-4
The solution is x=(1+sqrt(10))/2 ,x=(1-sqrt(10))/2