i*z=2*3i

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Solution for i*z=2*3i equation:


Simplifying
i * z = 2 * 3i

Multiply i * z
iz = 2 * 3i

Multiply 2 * 3
iz = 6i

Solving
iz = 6i

Solving for variable 'i'.

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

Add '-6i' to each side of the equation.
-6i + iz = 6i + -6i

Combine like terms: 6i + -6i = 0
-6i + iz = 0

Factor out the Greatest Common Factor (GCF), 'i'.
i(-6 + z) = 0

Subproblem 1

Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0

Subproblem 2

Set the factor '(-6 + z)' equal to zero and attempt to solve: Simplifying -6 + z = 0 Solving -6 + z = 0 Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + z = 0 + 6 z = 0 + 6 Combine like terms: 0 + 6 = 6 z = 6 Add '-1z' to each side of the equation. z + -1z = 6 + -1z Combine like terms: z + -1z = 0 0 = 6 + -1z Simplifying 0 = 6 + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

i = {0}

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