What is the answer to (x+8)(x-2)=(x+2)^2 ?

The answer to (x+8)(x-2)=(x+2)^2 is x=10

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(x+8)(x-2)=(x+2)^2

(x + 8) (x - 2) = (x + 2)^{2}

x = 10

Solution steps

(x + 8) (x - 2) = (x + 2)^{2}

Expand

(x + 8) (x - 2) : x^{2} + 6 x - 16

Expand

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

x^{2} + 6 x - 16 = x^{2} + 4 x + 4

Move

16

to the right side

x^{2} + 6 x = x^{2} + 4 x + 20

Subtract

x^{2} + 4 x

from both sides

x^{2} + 6 x - (x^{2} + 4 x) = x^{2} + 4 x + 20 - (x^{2} + 4 x)

Simplify

2 x = 20

Divide both sides by

2

x = 10

3 d + 8 = 2 d - 17

- 4 x - 2 x = 42

- 9 x - 8 = 55

\frac{b}{- 10} = 4

- 4 = \frac{k}{- 5}

What is the answer to (x+8)(x-2)=(x+2)^2 ?
The answer to (x+8)(x-2)=(x+2)^2 is x=10
Solve for x: (x+8)(x-2)=(x+2)^2
The solution is x=10