i(z^2)-(2sqrt(2))z-2(sqrt(3))=0

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Solution for i(z^2)-(2sqrt(2))z-2(sqrt(3))=0 equation:


Simplifying
i(z2) + -1(2sqrt(2)) * z + -2(sqrt(3)) = 0

Multiply i * z2
iz2 + -1(2sqrt(2)) * z + -2(sqrt(3)) = 0

Reorder the terms for easier multiplication:
iz2 + -1(2 * 2qrst) * z + -2(sqrt(3)) = 0

Multiply 2 * 2
iz2 + -1(4qrst) * z + -2(sqrt(3)) = 0

Remove parenthesis around (4qrst)
iz2 + -1 * 4qrst * z + -2(sqrt(3)) = 0

Multiply -1 * 4
iz2 + -4qrst * z + -2(sqrt(3)) = 0

Multiply qrst * z
iz2 + -4qrstz + -2(sqrt(3)) = 0

Reorder the terms for easier multiplication:
iz2 + -4qrstz + -2(3qrst) = 0

Remove parenthesis around (3qrst)
iz2 + -4qrstz + -2 * 3qrst = 0

Multiply -2 * 3
iz2 + -4qrstz + -6qrst = 0

Reorder the terms:
iz2 + -6qrst + -4qrstz = 0

Solving
iz2 + -6qrst + -4qrstz = 0

Solving for variable 'i'.

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

Add '6qrst' to each side of the equation.
iz2 + -6qrst + 6qrst + -4qrstz = 0 + 6qrst

Combine like terms: -6qrst + 6qrst = 0
iz2 + 0 + -4qrstz = 0 + 6qrst
iz2 + -4qrstz = 0 + 6qrst
Remove the zero:
iz2 + -4qrstz = 6qrst

Add '4qrstz' to each side of the equation.
iz2 + -4qrstz + 4qrstz = 6qrst + 4qrstz

Combine like terms: -4qrstz + 4qrstz = 0
iz2 + 0 = 6qrst + 4qrstz
iz2 = 6qrst + 4qrstz

Divide each side by 'z2'.
i = 6qrstz-2 + 4qrstz-1

Simplifying
i = 6qrstz-2 + 4qrstz-1

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