t(t+6)=-15

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Solution for t(t+6)=-15 equation: 


Simplifying
t(t + 6) = -15

Reorder the terms:
t(6 + t) = -15
(6 * t + t * t) = -15
(6t + t2) = -15

Solving
6t + t2 = -15

Solving for variable 't'.

Reorder the terms:
15 + 6t + t2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 6t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 6t + -15 + t2 = 0 + -15

Reorder the terms:
15 + -15 + 6t + t2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 6t + t2 = 0 + -15
6t + t2 = 0 + -15

Combine like terms: 0 + -15 = -15
6t + t2 = -15

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 = -15 + 9

Reorder the terms:
9 + 6t + t2 = -15 + 9

Combine like terms: -15 + 9 = -6
9 + 6t + t2 = -6

Factor a perfect square on the left side:
(t + 3)(t + 3) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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