(9-9i)(8+i)=

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Solution for (9-9i)(8+i)= equation:


Simplifying
(9 + -9i)(8 + i) = 0

Multiply (9 + -9i) * (8 + i)
(9(8 + i) + -9i * (8 + i)) = 0
((8 * 9 + i * 9) + -9i * (8 + i)) = 0
((72 + 9i) + -9i * (8 + i)) = 0
(72 + 9i + (8 * -9i + i * -9i)) = 0
(72 + 9i + (-72i + -9i2)) = 0

Combine like terms: 9i + -72i = -63i
(72 + -63i + -9i2) = 0

Solving
72 + -63i + -9i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '9'.
9(8 + -7i + -1i2) = 0

Factor a trinomial.
9((1 + -1i)(8 + i)) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(1 + -1i)' equal to zero and attempt to solve: Simplifying 1 + -1i = 0 Solving 1 + -1i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1i = 0 + -1 -1i = 0 + -1 Combine like terms: 0 + -1 = -1 -1i = -1 Divide each side by '-1'. i = 1 Simplifying i = 1

Subproblem 2

Set the factor '(8 + i)' equal to zero and attempt to solve: Simplifying 8 + i = 0 Solving 8 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + i = 0 + -8 i = 0 + -8 Combine like terms: 0 + -8 = -8 i = -8 Simplifying i = -8

Solution

i = {1, -8}

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