(2i+7)(4i-7)=14+iy

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Solution for (2i+7)(4i-7)=14+iy equation: 


Simplifying
(2i + 7)(4i + -7) = 14 + iy

Reorder the terms:
(7 + 2i)(4i + -7) = 14 + iy

Reorder the terms:
(7 + 2i)(-7 + 4i) = 14 + iy

Multiply (7 + 2i) * (-7 + 4i)
(7(-7 + 4i) + 2i * (-7 + 4i)) = 14 + iy
((-7 * 7 + 4i * 7) + 2i * (-7 + 4i)) = 14 + iy
((-49 + 28i) + 2i * (-7 + 4i)) = 14 + iy
(-49 + 28i + (-7 * 2i + 4i * 2i)) = 14 + iy
(-49 + 28i + (-14i + 8i2)) = 14 + iy

Combine like terms: 28i + -14i = 14i
(-49 + 14i + 8i2) = 14 + iy

Solving
-49 + 14i + 8i2 = 14 + iy

Solving for variable 'i'.

Reorder the terms:
-49 + -14 + 14i + -1iy + 8i2 = 14 + iy + -14 + -1iy

Combine like terms: -49 + -14 = -63
-63 + 14i + -1iy + 8i2 = 14 + iy + -14 + -1iy

Reorder the terms:
-63 + 14i + -1iy + 8i2 = 14 + -14 + iy + -1iy

Combine like terms: 14 + -14 = 0
-63 + 14i + -1iy + 8i2 = 0 + iy + -1iy
-63 + 14i + -1iy + 8i2 = iy + -1iy

Combine like terms: iy + -1iy = 0
-63 + 14i + -1iy + 8i2 = 0

The solution to this equation could not be determined.

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