t^2-8t=-36

Solution for t^2-8t=-36 equation:

Simplifying
t2 + -8t = -36

Reorder the terms:
-8t + t2 = -36

Solving
-8t + t2 = -36

Solving for variable 't'.

Reorder the terms:
36 + -8t + t2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + -8t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -8t + -36 + t2 = 0 + -36

Reorder the terms:
36 + -36 + -8t + t2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -8t + t2 = 0 + -36
-8t + t2 = 0 + -36

Combine like terms: 0 + -36 = -36
-8t + t2 = -36

The t term is -8t.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8t + 16 + t2 = -36 + 16

Reorder the terms:
16 + -8t + t2 = -36 + 16

Combine like terms: -36 + 16 = -20
16 + -8t + t2 = -20

Factor a perfect square on the left side:
(t + -4)(t + -4) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.