5e^6+7=12

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Solution for 5e^6+7=12 equation:


Simplifying
5e6 + 7 = 12

Reorder the terms:
7 + 5e6 = 12

Solving
7 + 5e6 = 12

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 + -7 + 5e6 = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 5e6 = 12 + -7
5e6 = 12 + -7

Combine like terms: 12 + -7 = 5
5e6 = 5

Divide each side by '5'.
e6 = 1

Simplifying
e6 = 1

Reorder the terms:
-1 + e6 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + e6 = 0

Factor a difference between two squares.
(1 + e3)(-1 + e3) = 0

Subproblem 1

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