Start by isolating the variable on one side by adding 43w^2 to both sides. The equation will read:
25w^2+5=0
*Subtract 5 from both sides*
25w^2=-5
*Divide both sides by 25*
w^2=-1/5
*Take the square root of both sides*
w=√(-1/5)
The square root of -1 is i. The square root of 5 remains √5
The answer is i/√5.
Hope this helps!!