i(4+3i)(4-3i)=

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Solution for i(4+3i)(4-3i)= equation: 


Simplifying
i(4 + 3i)(4 + -3i) = 0

Multiply (4 + 3i) * (4 + -3i)
i(4(4 + -3i) + 3i * (4 + -3i)) = 0
i((4 * 4 + -3i * 4) + 3i * (4 + -3i)) = 0
i((16 + -12i) + 3i * (4 + -3i)) = 0
i(16 + -12i + (4 * 3i + -3i * 3i)) = 0
i(16 + -12i + (12i + -9i2)) = 0

Combine like terms: -12i + 12i = 0
i(16 + 0 + -9i2) = 0
i(16 + -9i2) = 0
(16 * i + -9i2 * i) = 0
(16i + -9i3) = 0

Solving
16i + -9i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'i'.
i(16 + -9i2) = 0

Factor a difference between two squares.
i((4 + 3i)(4 + -3i)) = 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 '(4 + 3i)' equal to zero and attempt to solve:

Simplifying
4 + 3i = 0

Solving
4 + 3i = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3i = 0 + -4
3i = 0 + -4

Combine like terms: 0 + -4 = -4
3i = -4

Divide each side by '3'.
i = -1.333333333

Simplifying
i = -1.333333333

Subproblem 3
Set the factor '(4 + -3i)' equal to zero and attempt to solve:

Simplifying
4 + -3i = 0

Solving
4 + -3i = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3i = 0 + -4
-3i = 0 + -4

Combine like terms: 0 + -4 = -4
-3i = -4

Divide each side by '-3'.
i = 1.333333333

Simplifying
i = 1.333333333
Solution
i = {0, -1.333333333, 1.333333333}

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