9X^2+a^2=6ax+b^2x

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Solution for 9X^2+a^2=6ax+b^2x equation: 


Simplifying
9X2 + a2 = 6ax + b2x

Solving
9X2 + a2 = 6ax + b2x

Solving for variable 'X'.

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

Add '-1a2' to each side of the equation.
9X2 + a2 + -1a2 = 6ax + -1a2 + b2x

Combine like terms: a2 + -1a2 = 0
9X2 + 0 = 6ax + -1a2 + b2x
9X2 = 6ax + -1a2 + b2x

Divide each side by '9'.
X2 = 0.6666666667ax + -0.1111111111a2 + 0.1111111111b2x

Simplifying
X2 = 0.6666666667ax + -0.1111111111a2 + 0.1111111111b2x

Reorder the terms:
X2 + -0.6666666667ax + 0.1111111111a2 + -0.1111111111b2x = 0.6666666667ax + -0.6666666667ax + -0.1111111111a2 + 0.1111111111a2 + 0.1111111111b2x + -0.1111111111b2x

Combine like terms: 0.6666666667ax + -0.6666666667ax = 0.0000000000
X2 + -0.6666666667ax + 0.1111111111a2 + -0.1111111111b2x = 0.0000000000 + -0.1111111111a2 + 0.1111111111a2 + 0.1111111111b2x + -0.1111111111b2x
X2 + -0.6666666667ax + 0.1111111111a2 + -0.1111111111b2x = -0.1111111111a2 + 0.1111111111a2 + 0.1111111111b2x + -0.1111111111b2x

Combine like terms: -0.1111111111a2 + 0.1111111111a2 = 0.0000000000
X2 + -0.6666666667ax + 0.1111111111a2 + -0.1111111111b2x = 0.0000000000 + 0.1111111111b2x + -0.1111111111b2x
X2 + -0.6666666667ax + 0.1111111111a2 + -0.1111111111b2x = 0.1111111111b2x + -0.1111111111b2x

Combine like terms: 0.1111111111b2x + -0.1111111111b2x = 0.0000000000
X2 + -0.6666666667ax + 0.1111111111a2 + -0.1111111111b2x = 0.0000000000

The solution to this equation could not be determined.

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