=(4t-4)-(2t^2+5)

Solution for =(4t-4)-(2t^2+5) equation:

Simplifying
0 = (4t + -4) + -1(2t2 + 5)

Reorder the terms:
0 = (-4 + 4t) + -1(2t2 + 5)

Remove parenthesis around (-4 + 4t)
0 = -4 + 4t + -1(2t2 + 5)

Reorder the terms:
0 = -4 + 4t + -1(5 + 2t2)
0 = -4 + 4t + (5 * -1 + 2t2 * -1)
0 = -4 + 4t + (-5 + -2t2)

Reorder the terms:
0 = -4 + -5 + 4t + -2t2

Combine like terms: -4 + -5 = -9
0 = -9 + 4t + -2t2

Solving
0 = -9 + 4t + -2t2

Solving for variable 't'.

Combine like terms: 0 + 9 = 9
9 + -4t + 2t2 = -9 + 4t + -2t2 + 9 + -4t + 2t2

Reorder the terms:
9 + -4t + 2t2 = -9 + 9 + 4t + -4t + -2t2 + 2t2

Combine like terms: -9 + 9 = 0
9 + -4t + 2t2 = 0 + 4t + -4t + -2t2 + 2t2
9 + -4t + 2t2 = 4t + -4t + -2t2 + 2t2

Combine like terms: 4t + -4t = 0
9 + -4t + 2t2 = 0 + -2t2 + 2t2
9 + -4t + 2t2 = -2t2 + 2t2

Combine like terms: -2t2 + 2t2 = 0
9 + -4t + 2t2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
4.5 + -2t + t2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -2t + -4.5 + t2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -2t + t2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -2t + t2 = 0 + -4.5
-2t + t2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-2t + t2 = -4.5

The t term is -2t.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2t + 1 + t2 = -4.5 + 1

Reorder the terms:
1 + -2t + t2 = -4.5 + 1

Combine like terms: -4.5 + 1 = -3.5
1 + -2t + t2 = -3.5

Factor a perfect square on the left side:
(t + -1)(t + -1) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.