6i(4i+7)=

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Solution for 6i(4i+7)= equation: 


Simplifying
6i(4i + 7) = 0

Reorder the terms:
6i(7 + 4i) = 0
(7 * 6i + 4i * 6i) = 0
(42i + 24i2) = 0

Solving
42i + 24i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '6i'.
6i(7 + 4i) = 0

Ignore the factor 6.

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 '(7 + 4i)' equal to zero and attempt to solve:

Simplifying
7 + 4i = 0

Solving
7 + 4i = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4i = 0 + -7
4i = 0 + -7

Combine like terms: 0 + -7 = -7
4i = -7

Divide each side by '4'.
i = -1.75

Simplifying
i = -1.75
Solution
i = {0, -1.75}

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