5×2+125=0

Subtract 125 from both sides of the equation.

5×2=-125

Divide each term in 5×2=-125 by 5.

5×25=-1255

Cancel the common factor of 5.

Cancel the common factor.

5×25=-1255

Divide x2 by 1.

x2=-1255

x2=-1255

Divide -125 by 5.

x2=-25

x2=-25

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

x=±-25

Simplify the right side of the equation.

Rewrite -25 as -1(25).

x=±-1⋅25

Rewrite -1(25) as -1⋅25.

x=±-1⋅25

Rewrite -1 as i.

x=±i⋅25

Rewrite 25 as 52.

x=±i⋅52

Pull terms out from under the radical, assuming positive real numbers.

x=±i⋅5

Move 5 to the left of i.

x=±5i

x=±5i

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

First, use the positive value of the ± to find the first solution.

x=5i

Next, use the negative value of the ± to find the second solution.

x=-5i

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

x=5i,-5i

x=5i,-5i

x=5i,-5i

Solve Using the Square Root Property 5x^2+125=0