(9-z)z=9z-z^2

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Solution for (9-z)z=9z-z^2 equation:


Simplifying
(9 + -1z) * z = 9z + -1z2

Reorder the terms for easier multiplication:
z(9 + -1z) = 9z + -1z2
(9 * z + -1z * z) = 9z + -1z2
(9z + -1z2) = 9z + -1z2

Add '-9z' to each side of the equation.
9z + -9z + -1z2 = 9z + -9z + -1z2

Combine like terms: 9z + -9z = 0
0 + -1z2 = 9z + -9z + -1z2
-1z2 = 9z + -9z + -1z2

Combine like terms: 9z + -9z = 0
-1z2 = 0 + -1z2
-1z2 = -1z2

Add 'z2' to each side of the equation.
-1z2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
0 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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