6x^2+6y+z=36.6

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Solution for 6x^2+6y+z=36.6 equation:


Simplifying
6x2 + 6y + z = 36.6

Solving
6x2 + 6y + z = 36.6

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
6x2 + 6y + -6y + z = 36.6 + -6y

Combine like terms: 6y + -6y = 0
6x2 + 0 + z = 36.6 + -6y
6x2 + z = 36.6 + -6y

Add '-1z' to each side of the equation.
6x2 + z + -1z = 36.6 + -6y + -1z

Combine like terms: z + -1z = 0
6x2 + 0 = 36.6 + -6y + -1z
6x2 = 36.6 + -6y + -1z

Divide each side by '6'.
x2 = 6.1 + -1y + -0.1666666667z

Simplifying
x2 = 6.1 + -1y + -0.1666666667z

Reorder the terms:
-6.1 + x2 + y + 0.1666666667z = 6.1 + -1y + -0.1666666667z + -6.1 + y + 0.1666666667z

Reorder the terms:
-6.1 + x2 + y + 0.1666666667z = 6.1 + -6.1 + -1y + y + -0.1666666667z + 0.1666666667z

Combine like terms: 6.1 + -6.1 = 0.0
-6.1 + x2 + y + 0.1666666667z = 0.0 + -1y + y + -0.1666666667z + 0.1666666667z
-6.1 + x2 + y + 0.1666666667z = -1y + y + -0.1666666667z + 0.1666666667z

Combine like terms: -1y + y = 0
-6.1 + x2 + y + 0.1666666667z = 0 + -0.1666666667z + 0.1666666667z
-6.1 + x2 + y + 0.1666666667z = -0.1666666667z + 0.1666666667z

Combine like terms: -0.1666666667z + 0.1666666667z = 0.0000000000
-6.1 + x2 + y + 0.1666666667z = 0.0000000000

The solution to this equation could not be determined.

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