-8i(2i-7)=-16i^2-56i

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Solution for -8i(2i-7)=-16i^2-56i equation: 


Simplifying
-8i(2i + -7) = -16i2 + -56i

Reorder the terms:
-8i(-7 + 2i) = -16i2 + -56i
(-7 * -8i + 2i * -8i) = -16i2 + -56i
(56i + -16i2) = -16i2 + -56i

Reorder the terms:
56i + -16i2 = -56i + -16i2

Add '16i2' to each side of the equation.
56i + -16i2 + 16i2 = -56i + -16i2 + 16i2

Combine like terms: -16i2 + 16i2 = 0
56i + 0 = -56i + -16i2 + 16i2
56i = -56i + -16i2 + 16i2

Combine like terms: -16i2 + 16i2 = 0
56i = -56i + 0
56i = -56i

Solving
56i = -56i

Solving for variable 'i'.

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

Add '56i' to each side of the equation.
56i + 56i = -56i + 56i

Combine like terms: 56i + 56i = 112i
112i = -56i + 56i

Combine like terms: -56i + 56i = 0
112i = 0

Divide each side by '112'.
i = 0

Simplifying
i = 0

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