128=-t^2+6t

Solution for 128=-t^2+6t equation:

Simplifying
128 = -1t2 + 6t

Reorder the terms:
128 = 6t + -1t2

Solving
128 = 6t + -1t2

Solving for variable 't'.

Reorder the terms:
128 + -6t + t2 = 6t + -6t + -1t2 + t2

Combine like terms: 6t + -6t = 0
128 + -6t + t2 = 0 + -1t2 + t2
128 + -6t + t2 = -1t2 + t2

Combine like terms: -1t2 + t2 = 0
128 + -6t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-128' to each side of the equation.
128 + -6t + -128 + t2 = 0 + -128

Reorder the terms:
128 + -128 + -6t + t2 = 0 + -128

Combine like terms: 128 + -128 = 0
0 + -6t + t2 = 0 + -128
-6t + t2 = 0 + -128

Combine like terms: 0 + -128 = -128
-6t + t2 = -128

The t term is -6t.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6t + 9 + t2 = -128 + 9

Reorder the terms:
9 + -6t + t2 = -128 + 9

Combine like terms: -128 + 9 = -119
9 + -6t + t2 = -119

Factor a perfect square on the left side:
(t + -3)(t + -3) = -119

Can't calculate square root of the right side.

The solution to this equation could not be determined.