(Z-5)(z-7)+(z-5)(z+9)=

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Solution for (Z-5)(z-7)+(z-5)(z+9)= equation: 


Simplifying
(Z + -5)(z + -7) + (z + -5)(z + 9) = 0

Reorder the terms:
(-5 + Z)(z + -7) + (z + -5)(z + 9) = 0

Reorder the terms:
(-5 + Z)(-7 + z) + (z + -5)(z + 9) = 0

Multiply (-5 + Z) * (-7 + z)
(-5(-7 + z) + Z(-7 + z)) + (z + -5)(z + 9) = 0
((-7 * -5 + z * -5) + Z(-7 + z)) + (z + -5)(z + 9) = 0
((35 + -5z) + Z(-7 + z)) + (z + -5)(z + 9) = 0
(35 + -5z + (-7 * Z + z * Z)) + (z + -5)(z + 9) = 0
(35 + -5z + (-7Z + zZ)) + (z + -5)(z + 9) = 0

Reorder the terms:
(35 + -7Z + -5z + zZ) + (z + -5)(z + 9) = 0
(35 + -7Z + -5z + zZ) + (z + -5)(z + 9) = 0

Reorder the terms:
35 + -7Z + -5z + zZ + (-5 + z)(z + 9) = 0

Reorder the terms:
35 + -7Z + -5z + zZ + (-5 + z)(9 + z) = 0

Multiply (-5 + z) * (9 + z)
35 + -7Z + -5z + zZ + (-5(9 + z) + z(9 + z)) = 0
35 + -7Z + -5z + zZ + ((9 * -5 + z * -5) + z(9 + z)) = 0
35 + -7Z + -5z + zZ + ((-45 + -5z) + z(9 + z)) = 0
35 + -7Z + -5z + zZ + (-45 + -5z + (9 * z + z * z)) = 0
35 + -7Z + -5z + zZ + (-45 + -5z + (9z + z2)) = 0

Combine like terms: -5z + 9z = 4z
35 + -7Z + -5z + zZ + (-45 + 4z + z2) = 0

Reorder the terms:
35 + -45 + -7Z + -5z + 4z + zZ + z2 = 0

Combine like terms: 35 + -45 = -10
-10 + -7Z + -5z + 4z + zZ + z2 = 0

Combine like terms: -5z + 4z = -1z
-10 + -7Z + -1z + zZ + z2 = 0

Solving
-10 + -7Z + -1z + zZ + z2 = 0

Solving for variable 'Z'.

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

Add '10' to each side of the equation.
-10 + -7Z + -1z + zZ + 10 + z2 = 0 + 10

Reorder the terms:
-10 + 10 + -7Z + -1z + zZ + z2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -7Z + -1z + zZ + z2 = 0 + 10
-7Z + -1z + zZ + z2 = 0 + 10

Combine like terms: 0 + 10 = 10
-7Z + -1z + zZ + z2 = 10

Add 'z' to each side of the equation.
-7Z + -1z + zZ + z + z2 = 10 + z

Reorder the terms:
-7Z + -1z + z + zZ + z2 = 10 + z

Combine like terms: -1z + z = 0
-7Z + 0 + zZ + z2 = 10 + z
-7Z + zZ + z2 = 10 + z

Add '-1z2' to each side of the equation.
-7Z + zZ + z2 + -1z2 = 10 + z + -1z2

Combine like terms: z2 + -1z2 = 0
-7Z + zZ + 0 = 10 + z + -1z2
-7Z + zZ = 10 + z + -1z2

Reorder the terms:
-10 + -7Z + -1z + zZ + z2 = 10 + z + -1z2 + -10 + -1z + z2

Reorder the terms:
-10 + -7Z + -1z + zZ + z2 = 10 + -10 + z + -1z + -1z2 + z2

Combine like terms: 10 + -10 = 0
-10 + -7Z + -1z + zZ + z2 = 0 + z + -1z + -1z2 + z2
-10 + -7Z + -1z + zZ + z2 = z + -1z + -1z2 + z2

Combine like terms: z + -1z = 0
-10 + -7Z + -1z + zZ + z2 = 0 + -1z2 + z2
-10 + -7Z + -1z + zZ + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-10 + -7Z + -1z + zZ + z2 = 0

The solution to this equation could not be determined.

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