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Simplifying
6x * e2x + -1 = 18
Multiply x * e2x
6e2x2 + -1 = 18
Reorder the terms:
-1 + 6e2x2 = 18
Solving
-1 + 6e2x2 = 18
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 + 6e2x2 = 18 + 1
Combine like terms: -1 + 1 = 0
0 + 6e2x2 = 18 + 1
6e2x2 = 18 + 1
Combine like terms: 18 + 1 = 19
6e2x2 = 19
Divide each side by '6x2'.
e2 = 3.166666667x-2
Simplifying
e2 = 3.166666667x-2
Take the square root of each side:
e = {-1.779513042x-1, 1.779513042x-1}
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