(-7-3i)*i*(2i+5)=equation

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Solution for (-7-3i)*i*(2i+5)=equation equation: 


Simplifying
(-7 + -3i) * i(2i + 5) = equation

Reorder the terms:
(-7 + -3i) * i(5 + 2i) = equation

Reorder the terms for easier multiplication:
i(-7 + -3i)(5 + 2i) = equation

Multiply (-7 + -3i) * (5 + 2i)
i(-7(5 + 2i) + -3i * (5 + 2i)) = equation
i((5 * -7 + 2i * -7) + -3i * (5 + 2i)) = equation
i((-35 + -14i) + -3i * (5 + 2i)) = equation
i(-35 + -14i + (5 * -3i + 2i * -3i)) = equation
i(-35 + -14i + (-15i + -6i2)) = equation

Combine like terms: -14i + -15i = -29i
i(-35 + -29i + -6i2) = equation
(-35 * i + -29i * i + -6i2 * i) = equation
(-35i + -29i2 + -6i3) = equation

Solving
-35i + -29i2 + -6i3 = aeinoqtu

Solving for variable 'i'.

Reorder the terms:
-1aeinoqtu + -35i + -29i2 + -6i3 = aeinoqtu + -1aeinoqtu

Combine like terms: aeinoqtu + -1aeinoqtu = 0
-1aeinoqtu + -35i + -29i2 + -6i3 = 0

Factor out the Greatest Common Factor (GCF), '-1i'.
-1i(aenoqtu + 35 + 29i + 6i2) = 0

Ignore the factor -1.

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 '(aenoqtu + 35 + 29i + 6i2)' equal to zero and attempt to solve:

Simplifying
aenoqtu + 35 + 29i + 6i2 = 0

Reorder the terms:
35 + aenoqtu + 29i + 6i2 = 0

Solving
35 + aenoqtu + 29i + 6i2 = 0

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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