6y+3z-x^2=x^2+z-70

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Solution for 6y+3z-x^2=x^2+z-70 equation:


Simplifying
6y + 3z + -1x2 = x2 + z + -70

Reorder the terms:
-1x2 + 6y + 3z = x2 + z + -70

Reorder the terms:
-1x2 + 6y + 3z = -70 + x2 + z

Solving
-1x2 + 6y + 3z = -70 + x2 + z

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-1x2 + 6y + -1x2 + 3z = -70 + x2 + -1x2 + z

Reorder the terms:
-1x2 + -1x2 + 6y + 3z = -70 + x2 + -1x2 + z

Combine like terms: -1x2 + -1x2 = -2x2
-2x2 + 6y + 3z = -70 + x2 + -1x2 + z

Combine like terms: x2 + -1x2 = 0
-2x2 + 6y + 3z = -70 + 0 + z
-2x2 + 6y + 3z = -70 + z

Add '-6y' to each side of the equation.
-2x2 + 6y + -6y + 3z = -70 + -6y + z

Combine like terms: 6y + -6y = 0
-2x2 + 0 + 3z = -70 + -6y + z
-2x2 + 3z = -70 + -6y + z

Add '-3z' to each side of the equation.
-2x2 + 3z + -3z = -70 + -6y + z + -3z

Combine like terms: 3z + -3z = 0
-2x2 + 0 = -70 + -6y + z + -3z
-2x2 = -70 + -6y + z + -3z

Combine like terms: z + -3z = -2z
-2x2 = -70 + -6y + -2z

Divide each side by '-2'.
x2 = 35 + 3y + z

Simplifying
x2 = 35 + 3y + z

Reorder the terms:
-35 + x2 + -3y + -1z = 35 + 3y + z + -35 + -3y + -1z

Reorder the terms:
-35 + x2 + -3y + -1z = 35 + -35 + 3y + -3y + z + -1z

Combine like terms: 35 + -35 = 0
-35 + x2 + -3y + -1z = 0 + 3y + -3y + z + -1z
-35 + x2 + -3y + -1z = 3y + -3y + z + -1z

Combine like terms: 3y + -3y = 0
-35 + x2 + -3y + -1z = 0 + z + -1z
-35 + x2 + -3y + -1z = z + -1z

Combine like terms: z + -1z = 0
-35 + x2 + -3y + -1z = 0

The solution to this equation could not be determined.

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