-3t^2-7t-8=0

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Solution for -3t^2-7t-8=0 equation: 


Simplifying
-3t2 + -7t + -8 = 0

Reorder the terms:
-8 + -7t + -3t2 = 0

Solving
-8 + -7t + -3t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 7t + 3t2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + 7t + 3t2)' equal to zero and attempt to solve:

Simplifying
8 + 7t + 3t2 = 0

Solving
8 + 7t + 3t2 = 0

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

Divide each side by '3'.
2.666666667 + 2.333333333t + t2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 2.333333333t + -2.666666667 + t2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 2.333333333t + t2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 2.333333333t + t2 = 0 + -2.666666667
2.333333333t + t2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
2.333333333t + t2 = -2.666666667

The t term is 2.333333333t.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333t + 1.361111112 + t2 = -2.666666667 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333t + t2 = -2.666666667 + 1.361111112

Combine like terms: -2.666666667 + 1.361111112 = -1.305555555
1.361111112 + 2.333333333t + t2 = -1.305555555

Factor a perfect square on the left side:
(t + 1.166666667)(t + 1.166666667) = -1.305555555

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.

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