-5a^2t-3at^2+2at-8a^2t-15at^2-6at=

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Solution for -5a^2t-3at^2+2at-8a^2t-15at^2-6at= equation: 


Simplifying
-5a2t + -3at2 + 2at + -8a2t + -15at2 + -6at = 0

Reorder the terms:
2at + -6at + -3at2 + -15at2 + -5a2t + -8a2t = 0

Combine like terms: 2at + -6at = -4at
-4at + -3at2 + -15at2 + -5a2t + -8a2t = 0

Combine like terms: -3at2 + -15at2 = -18at2
-4at + -18at2 + -5a2t + -8a2t = 0

Combine like terms: -5a2t + -8a2t = -13a2t
-4at + -18at2 + -13a2t = 0

Solving
-4at + -18at2 + -13a2t = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1at'.
-1at(4 + 18t + 13a) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'at' equal to zero and attempt to solve:

Simplifying
at = 0

Solving
at = 0

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

Simplifying
at = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4 + 18t + 13a)' equal to zero and attempt to solve:

Simplifying
4 + 18t + 13a = 0

Reorder the terms:
4 + 13a + 18t = 0

Solving
4 + 13a + 18t = 0

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

Add '-4' to each side of the equation.
4 + 13a + -4 + 18t = 0 + -4

Reorder the terms:
4 + -4 + 13a + 18t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 13a + 18t = 0 + -4
13a + 18t = 0 + -4

Combine like terms: 0 + -4 = -4
13a + 18t = -4

Add '-18t' to each side of the equation.
13a + 18t + -18t = -4 + -18t

Combine like terms: 18t + -18t = 0
13a + 0 = -4 + -18t
13a = -4 + -18t

Divide each side by '13'.
a = -0.3076923077 + -1.384615385t

Simplifying
a = -0.3076923077 + -1.384615385t
Solution
a = {-0.3076923077 + -1.384615385t}

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