4e^7x-5=-2

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Solution for 4e^7x-5=-2 equation:


Simplifying
4e7x + -5 = -2

Reorder the terms:
-5 + 4e7x = -2

Solving
-5 + 4e7x = -2

Solving for variable 'e'.

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

Add '5' to each side of the equation.
-5 + 5 + 4e7x = -2 + 5

Combine like terms: -5 + 5 = 0
0 + 4e7x = -2 + 5
4e7x = -2 + 5

Combine like terms: -2 + 5 = 3
4e7x = 3

Divide each side by '4x'.
e7 = 0.75x-1

Simplifying
e7 = 0.75x-1

Combine like terms: 0.75x-1 + -0.75x-1 = 0.00
e7 + -0.75x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + -0.75) = 0.00

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 '(e7x + -0.75)' equal to zero and attempt to solve: Simplifying e7x + -0.75 = 0 Reorder the terms: -0.75 + e7x = 0 Solving -0.75 + e7x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + e7x = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + e7x = 0 + 0.75 e7x = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 e7x = 0.75 Divide each side by 'x'. e7 = 0.75x-1 Simplifying e7 = 0.75x-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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