s*4+s^2+78=0

Solution for s*4+s^2+78=0 equation:

Simplifying
s * 4 + s2 + 78 = 0

Reorder the terms for easier multiplication:
4s + s2 + 78 = 0

Reorder the terms:
78 + 4s + s2 = 0

Solving
78 + 4s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-78' to each side of the equation.
78 + 4s + -78 + s2 = 0 + -78

Reorder the terms:
78 + -78 + 4s + s2 = 0 + -78

Combine like terms: 78 + -78 = 0
0 + 4s + s2 = 0 + -78
4s + s2 = 0 + -78

Combine like terms: 0 + -78 = -78
4s + s2 = -78

The s term is 4s.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4s + 4 + s2 = -78 + 4

Reorder the terms:
4 + 4s + s2 = -78 + 4

Combine like terms: -78 + 4 = -74
4 + 4s + s2 = -74

Factor a perfect square on the left side:
(s + 2)(s + 2) = -74

Can't calculate square root of the right side.

The solution to this equation could not be determined.