5+(a^2-18)x+6x^2=0

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Solution for 5+(a^2-18)x+6x^2=0 equation:


Simplifying
5 + (a2 + -18) * x + 6x2 = 0

Reorder the terms:
5 + (-18 + a2) * x + 6x2 = 0

Reorder the terms for easier multiplication:
5 + x(-18 + a2) + 6x2 = 0
5 + (-18 * x + a2 * x) + 6x2 = 0

Reorder the terms:
5 + (a2x + -18x) + 6x2 = 0
5 + (a2x + -18x) + 6x2 = 0

Solving
5 + a2x + -18x + 6x2 = 0

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + a2x + -18x + -5 + 6x2 = 0 + -5

Reorder the terms:
5 + -5 + a2x + -18x + 6x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + a2x + -18x + 6x2 = 0 + -5
a2x + -18x + 6x2 = 0 + -5

Combine like terms: 0 + -5 = -5
a2x + -18x + 6x2 = -5

Add '18x' to each side of the equation.
a2x + -18x + 18x + 6x2 = -5 + 18x

Combine like terms: -18x + 18x = 0
a2x + 0 + 6x2 = -5 + 18x
a2x + 6x2 = -5 + 18x

Add '-6x2' to each side of the equation.
a2x + 6x2 + -6x2 = -5 + 18x + -6x2

Combine like terms: 6x2 + -6x2 = 0
a2x + 0 = -5 + 18x + -6x2
a2x = -5 + 18x + -6x2

Divide each side by 'x'.
a2 = -5x-1 + 18 + -6x

Simplifying
a2 = -5x-1 + 18 + -6x

Reorder the terms:
a2 = 18 + -5x-1 + -6x

Reorder the terms:
-18 + a2 + 5x-1 + 6x = 18 + -5x-1 + -6x + -18 + 5x-1 + 6x

Reorder the terms:
-18 + a2 + 5x-1 + 6x = 18 + -18 + -5x-1 + 5x-1 + -6x + 6x

Combine like terms: 18 + -18 = 0
-18 + a2 + 5x-1 + 6x = 0 + -5x-1 + 5x-1 + -6x + 6x
-18 + a2 + 5x-1 + 6x = -5x-1 + 5x-1 + -6x + 6x

Combine like terms: -5x-1 + 5x-1 = 0
-18 + a2 + 5x-1 + 6x = 0 + -6x + 6x
-18 + a2 + 5x-1 + 6x = -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + a2 + 5x-1 + 6x = 0

The solution to this equation could not be determined.

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