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Popular >

(x-7)^2=(x+3)^2

Solution

(x - 7)^{2} = (x + 3)^{2}

Solution

x = 2

Solution steps

(x - 7)^{2} = (x + 3)^{2}

Expand

(x - 7)^{2} : x^{2} - 14 x + 49

Expand

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

x^{2} - 14 x + 49 = x^{2} + 6 x + 9

Move

49

to the right side

x^{2} - 14 x = x^{2} + 6 x - 40

Subtract

x^{2} + 6 x

from both sides

x^{2} - 14 x - (x^{2} + 6 x) = x^{2} + 6 x - 40 - (x^{2} + 6 x)

Simplify

- 20 x = - 40

Divide both sides by

- 20

x = 2

Popular Examples

solvefor x,10x-5y=20 solve for

x, 10 x - 5 y = 20

(x-4)/2+4((9-x)/(12)-(2x-7)/(24))=x-13

\frac{x - 4}{2} + 4 (\frac{9 - x}{12} - \frac{2 x - 7}{24}) = x - 13

\frac{c}{3} + \frac{c}{1} = 12

solvefor y,x^4y=(x^8)/8-(x^2)/2+c solve for

y, x^{4} y = \frac{x ^{8}}{8} - \frac{x ^{2}}{2} + c

4 x + 6 = 2 x - 8

Frequently Asked Questions (FAQ)

What is the answer to (x-7)^2=(x+3)^2 ?
The answer to (x-7)^2=(x+3)^2 is x=2
Solve for x: (x-7)^2=(x+3)^2
The solution is x=2