en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-2)^2=(x-6)^2

Solution

(x - 2)^{2} = (x - 6)^{2}

Solution

x = 4

Solution steps

(x - 2)^{2} = (x - 6)^{2}

Expand

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

Expand

(x - 6)^{2} : x^{2} - 12 x + 36

x^{2} - 4 x + 4 = x^{2} - 12 x + 36

Move

4

to the right side

x^{2} - 4 x = x^{2} - 12 x + 32

Subtract

x^{2} - 12 x

from both sides

x^{2} - 4 x - (x^{2} - 12 x) = x^{2} - 12 x + 32 - (x^{2} - 12 x)

Simplify

8 x = 32

Divide both sides by

8

x = 4

Popular Examples

3 x^{2} - 5 x + 12 = 0

factor m^2+9m-22 factor

m^{2} + 9 m - 22

simplify (2sqrt(7)-3)/(sqrt(7)-2)simplify

\frac{2 7 - 3}{7 - 2}

7 x = - 91

simplify (pi/2)^2 simplify

(\frac{π}{2})^{2}

Frequently Asked Questions (FAQ)

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