What is the answer to (x+3)^2=8(x-2)+x^2 ?

The answer to (x+3)^2=8(x-2)+x^2 is x= 25/2

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(x+3)^2=8(x-2)+x^2

(x + 3)^{2} = 8 (x - 2) + x^{2}

x = \frac{25}{2}

Solution steps

(x + 3)^{2} = 8 (x - 2) + x^{2}

Expand

8 (x - 2) : 8 x - 16

x^{2} + 6 x + 9 = 8 x - 16 + x^{2}

Expand

(x + 3)^{2} : x^{2} + 6 x + 9

x^{2} + 6 x + 9 = 8 x - 16 + x^{2}

Move

9

to the right side

x^{2} + 6 x = x^{2} + 8 x - 25

Subtract

x^{2} + 8 x

from both sides

x^{2} + 6 x - (x^{2} + 8 x) = x^{2} + 8 x - 25 - (x^{2} + 8 x)

Simplify

- 2 x = - 25

Divide both sides by

- 2

x = \frac{25}{2}

- 9 a = 36

- 8 = 10 + w

- 4 x + 2 (5 x - 6) = - 3 x - 39

11 x + 5 x - 1 = 31

- 11 x = 77

What is the answer to (x+3)^2=8(x-2)+x^2 ?
The answer to (x+3)^2=8(x-2)+x^2 is x= 25/2
Solve for x: (x+3)^2=8(x-2)+x^2
The solution is x= 25/2