X^2+6x+(e^2-8)=0

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Solution for X^2+6x+(e^2-8)=0 equation:


Simplifying
X2 + 6x + (e2 + -8) = 0

Reorder the terms:
X2 + 6x + (-8 + e2) = 0

Remove parenthesis around (-8 + e2)
X2 + 6x + -8 + e2 = 0

Reorder the terms:
-8 + X2 + e2 + 6x = 0

Solving
-8 + X2 + e2 + 6x = 0

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + X2 + e2 + 8 + 6x = 0 + 8

Reorder the terms:
-8 + 8 + X2 + e2 + 6x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + X2 + e2 + 6x = 0 + 8
X2 + e2 + 6x = 0 + 8

Combine like terms: 0 + 8 = 8
X2 + e2 + 6x = 8

Add '-1e2' to each side of the equation.
X2 + e2 + -1e2 + 6x = 8 + -1e2

Combine like terms: e2 + -1e2 = 0
X2 + 0 + 6x = 8 + -1e2
X2 + 6x = 8 + -1e2

Add '-6x' to each side of the equation.
X2 + 6x + -6x = 8 + -1e2 + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 = 8 + -1e2 + -6x
X2 = 8 + -1e2 + -6x

Simplifying
X2 = 8 + -1e2 + -6x

Reorder the terms:
-8 + X2 + e2 + 6x = 8 + -1e2 + -6x + -8 + e2 + 6x

Reorder the terms:
-8 + X2 + e2 + 6x = 8 + -8 + -1e2 + e2 + -6x + 6x

Combine like terms: 8 + -8 = 0
-8 + X2 + e2 + 6x = 0 + -1e2 + e2 + -6x + 6x
-8 + X2 + e2 + 6x = -1e2 + e2 + -6x + 6x

Combine like terms: -1e2 + e2 = 0
-8 + X2 + e2 + 6x = 0 + -6x + 6x
-8 + X2 + e2 + 6x = -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + X2 + e2 + 6x = 0

The solution to this equation could not be determined.

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