7e^5x+2=10

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Solution for 7e^5x+2=10 equation:


Simplifying
7e5x + 2 = 10

Reorder the terms:
2 + 7e5x = 10

Solving
2 + 7e5x = 10

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 + 7e5x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 7e5x = 10 + -2
7e5x = 10 + -2

Combine like terms: 10 + -2 = 8
7e5x = 8

Divide each side by '7x'.
e5 = 1.142857143x-1

Simplifying
e5 = 1.142857143x-1

Combine like terms: 1.142857143x-1 + -1.142857143x-1 = 0.000000000
e5 + -1.142857143x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -1.142857143) = 0.000000000

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 '(e5x + -1.142857143)' equal to zero and attempt to solve: Simplifying e5x + -1.142857143 = 0 Reorder the terms: -1.142857143 + e5x = 0 Solving -1.142857143 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.142857143' to each side of the equation. -1.142857143 + 1.142857143 + e5x = 0 + 1.142857143 Combine like terms: -1.142857143 + 1.142857143 = 0.000000000 0.000000000 + e5x = 0 + 1.142857143 e5x = 0 + 1.142857143 Combine like terms: 0 + 1.142857143 = 1.142857143 e5x = 1.142857143 Divide each side by 'x'. e5 = 1.142857143x-1 Simplifying e5 = 1.142857143x-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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