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Popular >

(x+9)^2=(x-7)^2

Solution

(x + 9)^{2} = (x - 7)^{2}

Solution

x = - 1

Solution steps

(x + 9)^{2} = (x - 7)^{2}

Expand

(x + 9)^{2} : x^{2} + 18 x + 81

Expand

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

x^{2} + 18 x + 81 = x^{2} - 14 x + 49

Move

81

to the right side

x^{2} + 18 x = x^{2} - 14 x - 32

Subtract

x^{2} - 14 x

from both sides

x^{2} + 18 x - (x^{2} - 14 x) = x^{2} - 14 x - 32 - (x^{2} - 14 x)

Simplify

32 x = - 32

Divide both sides by

32

x = - 1

Popular Examples

8 - 4 x = x + 13

solvefor y,2x+5y=12 solve for

y, 2 x + 5 y = 12

4 (x - 6) 2 = 36

solvefor y,3x-3y=15 solve for

y, 3 x - 3 y = 15

solvefor y,3x+5y=-7 solve for

y, 3 x + 5 y = - 7

Frequently Asked Questions (FAQ)

What is the answer to (x+9)^2=(x-7)^2 ?
The answer to (x+9)^2=(x-7)^2 is x=-1
Solve for x: (x+9)^2=(x-7)^2
The solution is x=-1