Question

X^2-25=0 Using factoring method

Answer 1

Hello.

Move −25-25 to the right side of the equation by subtracting −25-25 from both sides of the equation.x2=25x2=25

Take the square root of both sides of the equation to eliminate the exponent on the left side.

The complete solution is the result of both the positive and negative portions of the solution.

Simplify the right side of the equation.

Rewrite 2525 as 5252.

Pull terms out from under the radical, assuming positive real numbers.The complete solution is the result of both the positive and negative portions of the solution.

The complete solution is the result of both the positive and negative portions of the solution.

Answer: x=5,−5

Have a nice day

Answer 2

$x^2 - 25 = 0$

That's the difference of two squares, which has a general factorization 

$a^2 - b^2 = (a+b)(a-b)$

Applying it to our case

$0 = x^2 - 25 = (x+5)(x-5)$

Two factors multiply to zero; either must be zero.

$x=-5 \textrm{ or } x=5$