(-2-i)(4+i)=-7-6i

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Solution for (-2-i)(4+i)=-7-6i equation: 


Simplifying
(-2 + -1i)(4 + i) = -7 + -6i

Multiply (-2 + -1i) * (4 + i)
(-2(4 + i) + -1i * (4 + i)) = -7 + -6i
((4 * -2 + i * -2) + -1i * (4 + i)) = -7 + -6i
((-8 + -2i) + -1i * (4 + i)) = -7 + -6i
(-8 + -2i + (4 * -1i + i * -1i)) = -7 + -6i
(-8 + -2i + (-4i + -1i2)) = -7 + -6i

Combine like terms: -2i + -4i = -6i
(-8 + -6i + -1i2) = -7 + -6i

Add '6i' to each side of the equation.
-8 + -6i + 6i + -1i2 = -7 + -6i + 6i

Combine like terms: -6i + 6i = 0
-8 + 0 + -1i2 = -7 + -6i + 6i
-8 + -1i2 = -7 + -6i + 6i

Combine like terms: -6i + 6i = 0
-8 + -1i2 = -7 + 0
-8 + -1i2 = -7

Solving
-8 + -1i2 = -7

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 8 + -1i2 = -7 + 8

Combine like terms: -8 + 8 = 0
0 + -1i2 = -7 + 8
-1i2 = -7 + 8

Combine like terms: -7 + 8 = 1
-1i2 = 1

Divide each side by '-1'.
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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