-8t^2+9t+9t^3-t^3+15t^2-3t=

Solution for -8t^2+9t+9t^3-t^3+15t^2-3t= equation:

Simplifying
-8t2 + 9t + 9t3 + -1t3 + 15t2 + -3t = 0

Reorder the terms:
9t + -3t + -8t2 + 15t2 + 9t3 + -1t3 = 0

Combine like terms: 9t + -3t = 6t
6t + -8t2 + 15t2 + 9t3 + -1t3 = 0

Combine like terms: -8t2 + 15t2 = 7t2
6t + 7t2 + 9t3 + -1t3 = 0

Combine like terms: 9t3 + -1t3 = 8t3
6t + 7t2 + 8t3 = 0

Solving
6t + 7t2 + 8t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(6 + 7t + 8t2) = 0

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

Move all terms containing t to the left, all other terms to the right.

Simplifying
t = 0
Subproblem 2
Set the factor '(6 + 7t + 8t2)' equal to zero and attempt to solve:

Simplifying
6 + 7t + 8t2 = 0

Solving
6 + 7t + 8t2 = 0

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

Divide each side by '8'.
0.75 + 0.875t + t2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.875t + -0.75 + t2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.875t + t2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.875t + t2 = 0 + -0.75
0.875t + t2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.875t + t2 = -0.75

The t term is 0.875t.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875t + 0.19140625 + t2 = -0.75 + 0.19140625

Reorder the terms:
0.19140625 + 0.875t + t2 = -0.75 + 0.19140625

Combine like terms: -0.75 + 0.19140625 = -0.55859375
0.19140625 + 0.875t + t2 = -0.55859375

Factor a perfect square on the left side:
(t + 0.4375)(t + 0.4375) = -0.55859375

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.
Solution
t = {0}