(2+3i)(5-3i)(-7+I)=

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


Simplifying
(2 + 3i)(5 + -3i)(-7 + I) = 0

Multiply (2 + 3i) * (5 + -3i)
(2(5 + -3i) + 3i * (5 + -3i))(-7 + I) = 0
((5 * 2 + -3i * 2) + 3i * (5 + -3i))(-7 + I) = 0
((10 + -6i) + 3i * (5 + -3i))(-7 + I) = 0
(10 + -6i + (5 * 3i + -3i * 3i))(-7 + I) = 0
(10 + -6i + (15i + -9i2))(-7 + I) = 0

Combine like terms: -6i + 15i = 9i
(10 + 9i + -9i2)(-7 + I) = 0

Multiply (10 + 9i + -9i2) * (-7 + I)
(10(-7 + I) + 9i * (-7 + I) + -9i2 * (-7 + I)) = 0
((-7 * 10 + I * 10) + 9i * (-7 + I) + -9i2 * (-7 + I)) = 0
((-70 + 10I) + 9i * (-7 + I) + -9i2 * (-7 + I)) = 0
(-70 + 10I + (-7 * 9i + I * 9i) + -9i2 * (-7 + I)) = 0
(-70 + 10I + (-63i + 9iI) + -9i2 * (-7 + I)) = 0
(-70 + 10I + -63i + 9iI + (-7 * -9i2 + I * -9i2)) = 0
(-70 + 10I + -63i + 9iI + (63i2 + -9i2I)) = 0
(-70 + 10I + -63i + 9iI + 63i2 + -9i2I) = 0

Solving
-70 + 10I + -63i + 9iI + 63i2 + -9i2I = 0

Solving for variable 'I'.

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

Add '70' to each side of the equation.
-70 + 10I + -63i + 9iI + 63i2 + 70 + -9i2I = 0 + 70

Reorder the terms:
-70 + 70 + 10I + -63i + 9iI + 63i2 + -9i2I = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 10I + -63i + 9iI + 63i2 + -9i2I = 0 + 70
10I + -63i + 9iI + 63i2 + -9i2I = 0 + 70

Combine like terms: 0 + 70 = 70
10I + -63i + 9iI + 63i2 + -9i2I = 70

Add '63i' to each side of the equation.
10I + -63i + 9iI + 63i2 + 63i + -9i2I = 70 + 63i

Reorder the terms:
10I + -63i + 63i + 9iI + 63i2 + -9i2I = 70 + 63i

Combine like terms: -63i + 63i = 0
10I + 0 + 9iI + 63i2 + -9i2I = 70 + 63i
10I + 9iI + 63i2 + -9i2I = 70 + 63i

Add '-63i2' to each side of the equation.
10I + 9iI + 63i2 + -63i2 + -9i2I = 70 + 63i + -63i2

Combine like terms: 63i2 + -63i2 = 0
10I + 9iI + 0 + -9i2I = 70 + 63i + -63i2
10I + 9iI + -9i2I = 70 + 63i + -63i2

Reorder the terms:
-70 + 10I + -63i + 9iI + 63i2 + -9i2I = 70 + 63i + -63i2 + -70 + -63i + 63i2

Reorder the terms:
-70 + 10I + -63i + 9iI + 63i2 + -9i2I = 70 + -70 + 63i + -63i + -63i2 + 63i2

Combine like terms: 70 + -70 = 0
-70 + 10I + -63i + 9iI + 63i2 + -9i2I = 0 + 63i + -63i + -63i2 + 63i2
-70 + 10I + -63i + 9iI + 63i2 + -9i2I = 63i + -63i + -63i2 + 63i2

Combine like terms: 63i + -63i = 0
-70 + 10I + -63i + 9iI + 63i2 + -9i2I = 0 + -63i2 + 63i2
-70 + 10I + -63i + 9iI + 63i2 + -9i2I = -63i2 + 63i2

Combine like terms: -63i2 + 63i2 = 0
-70 + 10I + -63i + 9iI + 63i2 + -9i2I = 0

The solution to this equation could not be determined.

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