Question 148306


{{{4x^2+20=0}}} Start with the given equation.



{{{4x^2=0-20}}} Subtract {{{20}}} from both sides.



{{{4x^2=-20}}} Combine like terms on the right side.



{{{x^2=(-20)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x^2}}}.



{{{x^2=-5}}} Reduce.




{{{x=0+-sqrt(-5)}}} Take the square root of both sides.



{{{x=sqrt(-5)}}} or {{{x=-sqrt(-5)}}} Break up the expression.



{{{x=i*sqrt(5)}}} or {{{x=-i*sqrt(5)}}} Simplify the square root.



So our answers are {{{x=i*sqrt(5)}}} or {{{x=-i*sqrt(5)}}}