1.4e^2-2n-7=2

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Solution for 1.4e^2-2n-7=2 equation:


Simplifying
1.4e2 + -2n + -7 = 2

Reorder the terms:
-7 + 1.4e2 + -2n = 2

Solving
-7 + 1.4e2 + -2n = 2

Solving for variable 'e'.

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

Add '7' to each side of the equation.
-7 + 1.4e2 + 7 + -2n = 2 + 7

Reorder the terms:
-7 + 7 + 1.4e2 + -2n = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 1.4e2 + -2n = 2 + 7
1.4e2 + -2n = 2 + 7

Combine like terms: 2 + 7 = 9
1.4e2 + -2n = 9

Add '2n' to each side of the equation.
1.4e2 + -2n + 2n = 9 + 2n

Combine like terms: -2n + 2n = 0
1.4e2 + 0 = 9 + 2n
1.4e2 = 9 + 2n

Divide each side by '1.4'.
e2 = 6.428571429 + 1.428571429n

Simplifying
e2 = 6.428571429 + 1.428571429n

Reorder the terms:
-6.428571429 + e2 + -1.428571429n = 6.428571429 + 1.428571429n + -6.428571429 + -1.428571429n

Reorder the terms:
-6.428571429 + e2 + -1.428571429n = 6.428571429 + -6.428571429 + 1.428571429n + -1.428571429n

Combine like terms: 6.428571429 + -6.428571429 = 0.000000000
-6.428571429 + e2 + -1.428571429n = 0.000000000 + 1.428571429n + -1.428571429n
-6.428571429 + e2 + -1.428571429n = 1.428571429n + -1.428571429n

Combine like terms: 1.428571429n + -1.428571429n = 0.000000000
-6.428571429 + e2 + -1.428571429n = 0.000000000

The solution to this equation could not be determined.

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