The given equation is
[tex]5x^2+90=0[/tex]First, subtract 90 from each side.
[tex]\begin{gathered} 5x^2+90-90=-90 \\ 5x^2=-90 \end{gathered}[/tex]Second, divide both sides by 5.
[tex]\begin{gathered} \frac{5x^2}{5}=-\frac{90}{5} \\ x^2=-18 \end{gathered}[/tex]Fourth, apply a square root on both sides.
[tex]\begin{gathered} \sqrt[]{x^2}=\sqrt[]{-18} \\ x=\sqrt[]{-18} \end{gathered}[/tex]The equation has no real solutions because the square root of a negative number does not exist.
