2t^2-2t-9=-13

Solution for 2t^2-2t-9=-13 equation:

Simplifying
2t2 + -2t + -9 = -13

Reorder the terms:
-9 + -2t + 2t2 = -13

Solving
-9 + -2t + 2t2 = -13

Solving for variable 't'.

Reorder the terms:
-9 + 13 + -2t + 2t2 = -13 + 13

Combine like terms: -9 + 13 = 4
4 + -2t + 2t2 = -13 + 13

Combine like terms: -13 + 13 = 0
4 + -2t + 2t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -1t + t2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + -1t + t2)' equal to zero and attempt to solve:

Simplifying
2 + -1t + t2 = 0

Solving
2 + -1t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1t + -2 + t2 = 0 + -2

Reorder the terms:
2 + -2 + -1t + t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t + t2 = 0 + -2
-1t + t2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1t + t2 = -2

The t term is -1t.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1t + 0.25 + t2 = -2 + 0.25

Reorder the terms:
0.25 + -1t + t2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + -1t + t2 = -1.75

Factor a perfect square on the left side:
(t + -0.5)(t + -0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.