z+2=sqrt(2z^2+3z+7)-3

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Solution for z+2=sqrt(2z^2+3z+7)-3 equation: 


Simplifying
z + 2 = sqrt(2z2 + 3z + 7) + -3

Reorder the terms:
2 + z = sqrt(2z2 + 3z + 7) + -3

Reorder the terms:
2 + z = qrst(7 + 3z + 2z2) + -3
2 + z = (7 * qrst + 3z * qrst + 2z2 * qrst) + -3
2 + z = (7qrst + 3qrstz + 2qrstz2) + -3

Reorder the terms:
2 + z = -3 + 7qrst + 3qrstz + 2qrstz2

Solving
2 + z = -3 + 7qrst + 3qrstz + 2qrstz2

Solving for variable 'z'.

Reorder the terms:
2 + 3 + -7qrst + -3qrstz + -2qrstz2 + z = -3 + 7qrst + 3qrstz + 2qrstz2 + 3 + -7qrst + -3qrstz + -2qrstz2

Combine like terms: 2 + 3 = 5
5 + -7qrst + -3qrstz + -2qrstz2 + z = -3 + 7qrst + 3qrstz + 2qrstz2 + 3 + -7qrst + -3qrstz + -2qrstz2

Reorder the terms:
5 + -7qrst + -3qrstz + -2qrstz2 + z = -3 + 3 + 7qrst + -7qrst + 3qrstz + -3qrstz + 2qrstz2 + -2qrstz2

Combine like terms: -3 + 3 = 0
5 + -7qrst + -3qrstz + -2qrstz2 + z = 0 + 7qrst + -7qrst + 3qrstz + -3qrstz + 2qrstz2 + -2qrstz2
5 + -7qrst + -3qrstz + -2qrstz2 + z = 7qrst + -7qrst + 3qrstz + -3qrstz + 2qrstz2 + -2qrstz2

Combine like terms: 7qrst + -7qrst = 0
5 + -7qrst + -3qrstz + -2qrstz2 + z = 0 + 3qrstz + -3qrstz + 2qrstz2 + -2qrstz2
5 + -7qrst + -3qrstz + -2qrstz2 + z = 3qrstz + -3qrstz + 2qrstz2 + -2qrstz2

Combine like terms: 3qrstz + -3qrstz = 0
5 + -7qrst + -3qrstz + -2qrstz2 + z = 0 + 2qrstz2 + -2qrstz2
5 + -7qrst + -3qrstz + -2qrstz2 + z = 2qrstz2 + -2qrstz2

Combine like terms: 2qrstz2 + -2qrstz2 = 0
5 + -7qrst + -3qrstz + -2qrstz2 + z = 0

The solution to this equation could not be determined.

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