45x^2*e^3x^3=6

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Solution for 45x^2*e^3x^3=6 equation:


Simplifying
45x2 * e3x3 = 6

Multiply x2 * e3x3
45e3x5 = 6

Solving
45e3x5 = 6

Solving for variable 'e'.

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

Divide each side by '45x5'.
e3 = 0.1333333333x-5

Simplifying
e3 = 0.1333333333x-5

Combine like terms: 0.1333333333x-5 + -0.1333333333x-5 = 0.0000000000
e3 + -0.1333333333x-5 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-5'.
x-5(e3x5 + -0.1333333333) = 0.0000000000

Subproblem 1

Set the factor 'x-5' equal to zero and attempt to solve: Simplifying x-5 = 0 Solving x-5 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-5' to each side of the equation. x-5 + -1x-5 = 0 + -1x-5 Remove the zero: 0 = -1x-5 Simplifying 0 = -1x-5 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 '(e3x5 + -0.1333333333)' equal to zero and attempt to solve: Simplifying e3x5 + -0.1333333333 = 0 Reorder the terms: -0.1333333333 + e3x5 = 0 Solving -0.1333333333 + e3x5 = 0 Move all terms containing e to the left, all other terms to the right. Add '0.1333333333' to each side of the equation. -0.1333333333 + 0.1333333333 + e3x5 = 0 + 0.1333333333 Combine like terms: -0.1333333333 + 0.1333333333 = 0.0000000000 0.0000000000 + e3x5 = 0 + 0.1333333333 e3x5 = 0 + 0.1333333333 Combine like terms: 0 + 0.1333333333 = 0.1333333333 e3x5 = 0.1333333333 Divide each side by 'x5'. e3 = 0.1333333333x-5 Simplifying e3 = 0.1333333333x-5 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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