Z^2+3z+2.25=-9.75

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Solution for Z^2+3z+2.25=-9.75 equation: 


Simplifying
Z2 + 3z + 2.25 = -9.75

Reorder the terms:
2.25 + Z2 + 3z = -9.75

Solving
2.25 + Z2 + 3z = -9.75

Solving for variable 'Z'.

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

Add '-2.25' to each side of the equation.
2.25 + Z2 + -2.25 + 3z = -9.75 + -2.25

Reorder the terms:
2.25 + -2.25 + Z2 + 3z = -9.75 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + Z2 + 3z = -9.75 + -2.25
Z2 + 3z = -9.75 + -2.25

Combine like terms: -9.75 + -2.25 = -12
Z2 + 3z = -12

Add '-3z' to each side of the equation.
Z2 + 3z + -3z = -12 + -3z

Combine like terms: 3z + -3z = 0
Z2 + 0 = -12 + -3z
Z2 = -12 + -3z

Simplifying
Z2 = -12 + -3z

Reorder the terms:
12 + Z2 + 3z = -12 + -3z + 12 + 3z

Reorder the terms:
12 + Z2 + 3z = -12 + 12 + -3z + 3z

Combine like terms: -12 + 12 = 0
12 + Z2 + 3z = 0 + -3z + 3z
12 + Z2 + 3z = -3z + 3z

Combine like terms: -3z + 3z = 0
12 + Z2 + 3z = 0

The solution to this equation could not be determined.

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