4e^3t(3t^2-1)=

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Solution for 4e^3t(3t^2-1)= equation:


Simplifying
4e3t(3t2 + -1) = 0

Reorder the terms:
4e3t(-1 + 3t2) = 0
(-1 * 4e3t + 3t2 * 4e3t) = 0
(-4e3t + 12e3t3) = 0

Solving
-4e3t + 12e3t3 = 0

Solving for variable 'e'.

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

Factor out the Greatest Common Factor (GCF), '4e3t'.
4e3t(-1 + 3t2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'e3t' equal to zero and attempt to solve: Simplifying e3t = 0 Solving e3t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e3t = 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 '(-1 + 3t2)' equal to zero and attempt to solve: Simplifying -1 + 3t2 = 0 Solving -1 + 3t2 = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3t2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3t2 = 0 + 1 3t2 = 0 + 1 Combine like terms: 0 + 1 = 1 3t2 = 1 Add '-3t2' to each side of the equation. 3t2 + -3t2 = 1 + -3t2 Combine like terms: 3t2 + -3t2 = 0 0 = 1 + -3t2 Simplifying 0 = 1 + -3t2 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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