74=(-7-5i)(-7+5i)

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Solution for 74=(-7-5i)(-7+5i) equation:


Simplifying
74 = (-7 + -5i)(-7 + 5i)

Multiply (-7 + -5i) * (-7 + 5i)
74 = (-7(-7 + 5i) + -5i * (-7 + 5i))
74 = ((-7 * -7 + 5i * -7) + -5i * (-7 + 5i))
74 = ((49 + -35i) + -5i * (-7 + 5i))
74 = (49 + -35i + (-7 * -5i + 5i * -5i))
74 = (49 + -35i + (35i + -25i2))

Combine like terms: -35i + 35i = 0
74 = (49 + 0 + -25i2)
74 = (49 + -25i2)

Solving
74 = 49 + -25i2

Solving for variable 'i'.

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

Add '25i2' to each side of the equation.
74 + 25i2 = 49 + -25i2 + 25i2

Combine like terms: -25i2 + 25i2 = 0
74 + 25i2 = 49 + 0
74 + 25i2 = 49

Add '-74' to each side of the equation.
74 + -74 + 25i2 = 49 + -74

Combine like terms: 74 + -74 = 0
0 + 25i2 = 49 + -74
25i2 = 49 + -74

Combine like terms: 49 + -74 = -25
25i2 = -25

Divide each side by '25'.
i2 = -1

Simplifying
i2 = -1

Reorder the terms:
1 + i2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + i2 = 0

The solution to this equation could not be determined.

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