y(2z+6z^2)+(z^2+2z^3)x=1+x

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Solution for y(2z+6z^2)+(z^2+2z^3)x=1+x equation: 


Simplifying
y(2z + 6z2) + (z2 + 2z3) * x = 1 + x
(2z * y + 6z2 * y) + (z2 + 2z3) * x = 1 + x
(2yz + 6yz2) + (z2 + 2z3) * x = 1 + x

Reorder the terms for easier multiplication:
2yz + 6yz2 + x(z2 + 2z3) = 1 + x
2yz + 6yz2 + (z2 * x + 2z3 * x) = 1 + x
2yz + 6yz2 + (xz2 + 2xz3) = 1 + x

Reorder the terms:
xz2 + 2xz3 + 2yz + 6yz2 = 1 + x

Solving
xz2 + 2xz3 + 2yz + 6yz2 = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
xz2 + 2xz3 + 2yz + -1x + 6yz2 = 1 + x + -1x

Reorder the terms:
-1x + xz2 + 2xz3 + 2yz + 6yz2 = 1 + x + -1x

Combine like terms: x + -1x = 0
-1x + xz2 + 2xz3 + 2yz + 6yz2 = 1 + 0
-1x + xz2 + 2xz3 + 2yz + 6yz2 = 1

Add '-2yz' to each side of the equation.
-1x + xz2 + 2xz3 + 2yz + -2yz + 6yz2 = 1 + -2yz

Combine like terms: 2yz + -2yz = 0
-1x + xz2 + 2xz3 + 0 + 6yz2 = 1 + -2yz
-1x + xz2 + 2xz3 + 6yz2 = 1 + -2yz

Add '-6yz2' to each side of the equation.
-1x + xz2 + 2xz3 + 6yz2 + -6yz2 = 1 + -2yz + -6yz2

Combine like terms: 6yz2 + -6yz2 = 0
-1x + xz2 + 2xz3 + 0 = 1 + -2yz + -6yz2
-1x + xz2 + 2xz3 = 1 + -2yz + -6yz2

Reorder the terms:
-1 + -1x + xz2 + 2xz3 + 2yz + 6yz2 = 1 + -2yz + -6yz2 + -1 + 2yz + 6yz2

Reorder the terms:
-1 + -1x + xz2 + 2xz3 + 2yz + 6yz2 = 1 + -1 + -2yz + 2yz + -6yz2 + 6yz2

Combine like terms: 1 + -1 = 0
-1 + -1x + xz2 + 2xz3 + 2yz + 6yz2 = 0 + -2yz + 2yz + -6yz2 + 6yz2
-1 + -1x + xz2 + 2xz3 + 2yz + 6yz2 = -2yz + 2yz + -6yz2 + 6yz2

Combine like terms: -2yz + 2yz = 0
-1 + -1x + xz2 + 2xz3 + 2yz + 6yz2 = 0 + -6yz2 + 6yz2
-1 + -1x + xz2 + 2xz3 + 2yz + 6yz2 = -6yz2 + 6yz2

Combine like terms: -6yz2 + 6yz2 = 0
-1 + -1x + xz2 + 2xz3 + 2yz + 6yz2 = 0

The solution to this equation could not be determined.

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