2z+3y(3y)=nz

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Solution for 2z+3y(3y)=nz equation:


Simplifying
2z + 3y(3y) = nz

Remove parenthesis around (3y)
2z + 3y * 3y = nz

Reorder the terms for easier multiplication:
2z + 3 * 3y * y = nz

Multiply 3 * 3
2z + 9y * y = nz

Multiply y * y
2z + 9y2 = nz

Reorder the terms:
9y2 + 2z = nz

Solving
9y2 + 2z = nz

Solving for variable 'y'.

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

Add '-2z' to each side of the equation.
9y2 + 2z + -2z = nz + -2z

Combine like terms: 2z + -2z = 0
9y2 + 0 = nz + -2z
9y2 = nz + -2z

Divide each side by '9'.
y2 = 0.1111111111nz + -0.2222222222z

Simplifying
y2 = 0.1111111111nz + -0.2222222222z

Reorder the terms:
-0.1111111111nz + y2 + 0.2222222222z = 0.1111111111nz + -0.2222222222z + -0.1111111111nz + 0.2222222222z

Reorder the terms:
-0.1111111111nz + y2 + 0.2222222222z = 0.1111111111nz + -0.1111111111nz + -0.2222222222z + 0.2222222222z

Combine like terms: 0.1111111111nz + -0.1111111111nz = 0.0000000000
-0.1111111111nz + y2 + 0.2222222222z = 0.0000000000 + -0.2222222222z + 0.2222222222z
-0.1111111111nz + y2 + 0.2222222222z = -0.2222222222z + 0.2222222222z

Combine like terms: -0.2222222222z + 0.2222222222z = 0.0000000000
-0.1111111111nz + y2 + 0.2222222222z = 0.0000000000

The solution to this equation could not be determined.

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