5+8e^7x-4=10

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Solution for 5+8e^7x-4=10 equation:


Simplifying
5 + 8e7x + -4 = 10

Reorder the terms:
5 + -4 + 8e7x = 10

Combine like terms: 5 + -4 = 1
1 + 8e7x = 10

Solving
1 + 8e7x = 10

Solving for variable 'e'.

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

Add '-1' to each side of the equation.
1 + -1 + 8e7x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 8e7x = 10 + -1
8e7x = 10 + -1

Combine like terms: 10 + -1 = 9
8e7x = 9

Divide each side by '8x'.
e7 = 1.125x-1

Simplifying
e7 = 1.125x-1

Combine like terms: 1.125x-1 + -1.125x-1 = 0.000
e7 + -1.125x-1 = 0.000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + -1.125) = 0.000

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 + -1.125)' equal to zero and attempt to solve: Simplifying e7x + -1.125 = 0 Reorder the terms: -1.125 + e7x = 0 Solving -1.125 + e7x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.125' to each side of the equation. -1.125 + 1.125 + e7x = 0 + 1.125 Combine like terms: -1.125 + 1.125 = 0.000 0.000 + e7x = 0 + 1.125 e7x = 0 + 1.125 Combine like terms: 0 + 1.125 = 1.125 e7x = 1.125 Divide each side by 'x'. e7 = 1.125x-1 Simplifying e7 = 1.125x-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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