(Z-4)(z-4)=100

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Solution for (Z-4)(z-4)=100 equation:


Simplifying
(Z + -4)(z + -4) = 100

Reorder the terms:
(-4 + Z)(z + -4) = 100

Reorder the terms:
(-4 + Z)(-4 + z) = 100

Multiply (-4 + Z) * (-4 + z)
(-4(-4 + z) + Z(-4 + z)) = 100
((-4 * -4 + z * -4) + Z(-4 + z)) = 100
((16 + -4z) + Z(-4 + z)) = 100
(16 + -4z + (-4 * Z + z * Z)) = 100
(16 + -4z + (-4Z + zZ)) = 100

Reorder the terms:
(16 + -4Z + -4z + zZ) = 100
(16 + -4Z + -4z + zZ) = 100

Solving
16 + -4Z + -4z + zZ = 100

Solving for variable 'Z'.

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

Add '-16' to each side of the equation.
16 + -4Z + -4z + -16 + zZ = 100 + -16

Reorder the terms:
16 + -16 + -4Z + -4z + zZ = 100 + -16

Combine like terms: 16 + -16 = 0
0 + -4Z + -4z + zZ = 100 + -16
-4Z + -4z + zZ = 100 + -16

Combine like terms: 100 + -16 = 84
-4Z + -4z + zZ = 84

Add '4z' to each side of the equation.
-4Z + -4z + 4z + zZ = 84 + 4z

Combine like terms: -4z + 4z = 0
-4Z + 0 + zZ = 84 + 4z
-4Z + zZ = 84 + 4z

Reorder the terms:
-84 + -4Z + -4z + zZ = 84 + 4z + -84 + -4z

Reorder the terms:
-84 + -4Z + -4z + zZ = 84 + -84 + 4z + -4z

Combine like terms: 84 + -84 = 0
-84 + -4Z + -4z + zZ = 0 + 4z + -4z
-84 + -4Z + -4z + zZ = 4z + -4z

Combine like terms: 4z + -4z = 0
-84 + -4Z + -4z + zZ = 0

The solution to this equation could not be determined.

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