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

5×2+125=0
Subtract 125 from both sides of the equation.
5×2=-125
Divide each term by 5 and simplify.
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
The complete solution is the result of both the positive and negative portions of the solution.
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