=5*t^6+23*t^3+12*x^2

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Solution for =5*t^6+23*t^3+12*x^2 equation: 


Simplifying
0 = 5t6 + 23t3 + 12x2

Reorder the terms:
0 = 23t3 + 5t6 + 12x2

Solving
0 = 23t3 + 5t6 + 12x2

Solving for variable 't'.
Remove the zero:
-23t3 + -5t6 + -12x2 = 23t3 + 5t6 + 12x2 + -23t3 + -5t6 + -12x2

Reorder the terms:
-23t3 + -5t6 + -12x2 = 23t3 + -23t3 + 5t6 + -5t6 + 12x2 + -12x2

Combine like terms: 23t3 + -23t3 = 0
-23t3 + -5t6 + -12x2 = 0 + 5t6 + -5t6 + 12x2 + -12x2
-23t3 + -5t6 + -12x2 = 5t6 + -5t6 + 12x2 + -12x2

Combine like terms: 5t6 + -5t6 = 0
-23t3 + -5t6 + -12x2 = 0 + 12x2 + -12x2
-23t3 + -5t6 + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-23t3 + -5t6 + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(23t3 + 5t6 + 12x2) = 0

Factor a trinomial.
-1((5t3 + 3x)(t3 + 4x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5t3 + 3x)' equal to zero and attempt to solve:

Simplifying
5t3 + 3x = 0

Solving
5t3 + 3x = 0

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

Add '-3x' to each side of the equation.
5t3 + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
5t3 + 0 = 0 + -3x
5t3 = 0 + -3x
Remove the zero:
5t3 = -3x

Divide each side by '5'.
t3 = -0.6x

Simplifying
t3 = -0.6x

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 '(t3 + 4x)' equal to zero and attempt to solve:

Simplifying
t3 + 4x = 0

Solving
t3 + 4x = 0

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

Add '-4x' to each side of the equation.
t3 + 4x + -4x = 0 + -4x

Combine like terms: 4x + -4x = 0
t3 + 0 = 0 + -4x
t3 = 0 + -4x
Remove the zero:
t3 = -4x

Simplifying
t3 = -4x

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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