What is the answer to ((2x+4)^2)/((x+6)^2)=4 ?

The answer to ((2x+4)^2)/((x+6)^2)=4 is x=-4

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((2x+4)^2)/((x+6)^2)=4

\frac{( 2 x + 4 ) ^{2}}{( x + 6 ) ^{2}} = 4

x = - 4

Solution steps

\frac{( 2 x + 4 ) ^{2}}{( x + 6 ) ^{2}} = 4

Multiply both sides by

(x + 6)^{2}

(2 x + 4)^{2} = 4 (x + 6)^{2}

Expand

(2 x + 4)^{2} : 4 x^{2} + 16 x + 16

Expand

4 (x + 6)^{2} : 4 x^{2} + 48 x + 144

4 x^{2} + 16 x + 16 = 4 x^{2} + 48 x + 144

Move

16

to the right side

4 x^{2} + 16 x = 4 x^{2} + 48 x + 128

Subtract

4 x^{2} + 48 x

from both sides

4 x^{2} + 16 x - (4 x^{2} + 48 x) = 4 x^{2} + 48 x + 128 - (4 x^{2} + 48 x)

Simplify

- 32 x = 128

Divide both sides by

- 32

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = - 4

\frac{x ^{2} - 1}{x} = 0

0.26844 = \frac{30 - x}{x}

A, P = \frac{F}{A}

\frac{1}{2 m - 5} + 4 = - \frac{1}{3}

\frac{3}{x - 4} = \frac{7}{x}

What is the answer to ((2x+4)^2)/((x+6)^2)=4 ?
The answer to ((2x+4)^2)/((x+6)^2)=4 is x=-4
Solve for x: ((2x+4)^2)/((x+6)^2)=4
The solution is x=-4