What is the answer to (x+10)^2=(x-9)^2 ?

The answer to (x+10)^2=(x-9)^2 is x=-1/2

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(x+10)^2=(x-9)^2

(x + 10)^{2} = (x - 9)^{2}

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

(x + 10)^{2} = (x - 9)^{2}

Expand

(x + 10)^{2} : x^{2} + 20 x + 100

Expand

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

x^{2} + 20 x + 100 = x^{2} - 18 x + 81

Move

100

to the right side

x^{2} + 20 x = x^{2} - 18 x - 19

Subtract

x^{2} - 18 x

from both sides

x^{2} + 20 x - (x^{2} - 18 x) = x^{2} - 18 x - 19 - (x^{2} - 18 x)

Simplify

38 x = - 19

Divide both sides by

38

x = - \frac{1}{2}

y, 0 = 4.5 - 2 y + 4.8 x

a, 2 a + 3 b = 5

- 24 + v + 7 + 12 = 0

y, x 216 + y 24 = 1

2 x + 8 = 11

What is the answer to (x+10)^2=(x-9)^2 ?
The answer to (x+10)^2=(x-9)^2 is x=-1/2
Solve for x: (x+10)^2=(x-9)^2
The solution is x=-1/2