t^2+2t=-15

Solution for t^2+2t=-15 equation:

Simplifying
t2 + 2t = -15

Reorder the terms:
2t + t2 = -15

Solving
2t + t2 = -15

Solving for variable 't'.

Reorder the terms:
15 + 2t + t2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 2t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 2t + -15 + t2 = 0 + -15

Reorder the terms:
15 + -15 + 2t + t2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2t + t2 = 0 + -15
2t + t2 = 0 + -15

Combine like terms: 0 + -15 = -15
2t + t2 = -15

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 = -15 + 1

Reorder the terms:
1 + 2t + t2 = -15 + 1

Combine like terms: -15 + 1 = -14
1 + 2t + t2 = -14

Factor a perfect square on the left side:
(t + 1)(t + 1) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.