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

The answer to (x-3)^2=(x+2)^2 is x= 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Expand

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

Expand

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

x^{2} - 6 x + 9 = x^{2} + 4 x + 4

Move

9

to the right side

x^{2} - 6 x = x^{2} + 4 x - 5

Subtract

x^{2} + 4 x

from both sides

x^{2} - 6 x - (x^{2} + 4 x) = x^{2} + 4 x - 5 - (x^{2} + 4 x)

Simplify

- 10 x = - 5

Divide both sides by

- 10

x = \frac{1}{2}

- \frac{3}{5} = - \frac{1}{5} + \frac{4}{9} c

y, x - y = z

y, 3 x - 8 y = 24

y, y + a = c

(4 x + 3) - (5 x - 7) = a x + b