14e^3x+2=560

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Solution for 14e^3x+2=560 equation:


Simplifying
14e3x + 2 = 560

Reorder the terms:
2 + 14e3x = 560

Solving
2 + 14e3x = 560

Solving for variable 'e'.

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

Add '-2' to each side of the equation.
2 + -2 + 14e3x = 560 + -2

Combine like terms: 2 + -2 = 0
0 + 14e3x = 560 + -2
14e3x = 560 + -2

Combine like terms: 560 + -2 = 558
14e3x = 558

Divide each side by '14x'.
e3 = 39.85714286x-1

Simplifying
e3 = 39.85714286x-1

Combine like terms: 39.85714286x-1 + -39.85714286x-1 = 0.00000000
e3 + -39.85714286x-1 = 0.00000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -39.85714286) = 0.00000000

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 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 '(e3x + -39.85714286)' equal to zero and attempt to solve: Simplifying e3x + -39.85714286 = 0 Reorder the terms: -39.85714286 + e3x = 0 Solving -39.85714286 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '39.85714286' to each side of the equation. -39.85714286 + 39.85714286 + e3x = 0 + 39.85714286 Combine like terms: -39.85714286 + 39.85714286 = 0.00000000 0.00000000 + e3x = 0 + 39.85714286 e3x = 0 + 39.85714286 Combine like terms: 0 + 39.85714286 = 39.85714286 e3x = 39.85714286 Divide each side by 'x'. e3 = 39.85714286x-1 Simplifying e3 = 39.85714286x-1 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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