(7+6i)(-8-8i)=

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Solution for (7+6i)(-8-8i)= equation:


Simplifying
(7 + 6i)(-8 + -8i) = 0

Multiply (7 + 6i) * (-8 + -8i)
(7(-8 + -8i) + 6i * (-8 + -8i)) = 0
((-8 * 7 + -8i * 7) + 6i * (-8 + -8i)) = 0
((-56 + -56i) + 6i * (-8 + -8i)) = 0
(-56 + -56i + (-8 * 6i + -8i * 6i)) = 0
(-56 + -56i + (-48i + -48i2)) = 0

Combine like terms: -56i + -48i = -104i
(-56 + -104i + -48i2) = 0

Solving
-56 + -104i + -48i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-8'.
-8(7 + 13i + 6i2) = 0

Factor a trinomial.
-8((7 + 6i)(1 + i)) = 0

Ignore the factor -8.

Subproblem 1

Set the factor '(7 + 6i)' equal to zero and attempt to solve: Simplifying 7 + 6i = 0 Solving 7 + 6i = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6i = 0 + -7 6i = 0 + -7 Combine like terms: 0 + -7 = -7 6i = -7 Divide each side by '6'. i = -1.166666667 Simplifying i = -1.166666667

Subproblem 2

Set the factor '(1 + i)' equal to zero and attempt to solve: Simplifying 1 + i = 0 Solving 1 + i = 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 + i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i = 0 + -1 i = 0 + -1 Combine like terms: 0 + -1 = -1 i = -1 Simplifying i = -1

Solution

i = {-1.166666667, -1}

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