0=-5t^2-11t-12

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Solution for 0=-5t^2-11t-12 equation: 


Simplifying
0 = -5t2 + -11t + -12

Reorder the terms:
0 = -12 + -11t + -5t2

Solving
0 = -12 + -11t + -5t2

Solving for variable 't'.

Combine like terms: 0 + 12 = 12
12 + 11t + 5t2 = -12 + -11t + -5t2 + 12 + 11t + 5t2

Reorder the terms:
12 + 11t + 5t2 = -12 + 12 + -11t + 11t + -5t2 + 5t2

Combine like terms: -12 + 12 = 0
12 + 11t + 5t2 = 0 + -11t + 11t + -5t2 + 5t2
12 + 11t + 5t2 = -11t + 11t + -5t2 + 5t2

Combine like terms: -11t + 11t = 0
12 + 11t + 5t2 = 0 + -5t2 + 5t2
12 + 11t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
12 + 11t + 5t2 = 0

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

Divide each side by '5'.
2.4 + 2.2t + t2 = 0

Move the constant term to the right:

Add '-2.4' to each side of the equation.
2.4 + 2.2t + -2.4 + t2 = 0 + -2.4

Reorder the terms:
2.4 + -2.4 + 2.2t + t2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 2.2t + t2 = 0 + -2.4
2.2t + t2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
2.2t + t2 = -2.4

The t term is 2.2t.  Take half its coefficient (1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
2.2t + 1.21 + t2 = -2.4 + 1.21

Reorder the terms:
1.21 + 2.2t + t2 = -2.4 + 1.21

Combine like terms: -2.4 + 1.21 = -1.19
1.21 + 2.2t + t2 = -1.19

Factor a perfect square on the left side:
(t + 1.1)(t + 1.1) = -1.19

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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