t^2+7t+78=0

Solution for t^2+7t+78=0 equation:

Simplifying
t2 + 7t + 78 = 0

Reorder the terms:
78 + 7t + t2 = 0

Solving
78 + 7t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-78' to each side of the equation.
78 + 7t + -78 + t2 = 0 + -78

Reorder the terms:
78 + -78 + 7t + t2 = 0 + -78

Combine like terms: 78 + -78 = 0
0 + 7t + t2 = 0 + -78
7t + t2 = 0 + -78

Combine like terms: 0 + -78 = -78
7t + t2 = -78

The t term is 7t.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7t + 12.25 + t2 = -78 + 12.25

Reorder the terms:
12.25 + 7t + t2 = -78 + 12.25

Combine like terms: -78 + 12.25 = -65.75
12.25 + 7t + t2 = -65.75

Factor a perfect square on the left side:
(t + 3.5)(t + 3.5) = -65.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.