(-9+8i)*(6+8i)=

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Solution for (-9+8i)*(6+8i)= equation:


Simplifying
(-9 + 8i)(6 + 8i) = 0

Multiply (-9 + 8i) * (6 + 8i)
(-9(6 + 8i) + 8i * (6 + 8i)) = 0
((6 * -9 + 8i * -9) + 8i * (6 + 8i)) = 0
((-54 + -72i) + 8i * (6 + 8i)) = 0
(-54 + -72i + (6 * 8i + 8i * 8i)) = 0
(-54 + -72i + (48i + 64i2)) = 0

Combine like terms: -72i + 48i = -24i
(-54 + -24i + 64i2) = 0

Solving
-54 + -24i + 64i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-27 + -12i + 32i2) = 0

Factor a trinomial.
2((-3 + -4i)(9 + -8i)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -4i)' equal to zero and attempt to solve: Simplifying -3 + -4i = 0 Solving -3 + -4i = 0 Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4i = 0 + 3 -4i = 0 + 3 Combine like terms: 0 + 3 = 3 -4i = 3 Divide each side by '-4'. i = -0.75 Simplifying i = -0.75

Subproblem 2

Set the factor '(9 + -8i)' equal to zero and attempt to solve: Simplifying 9 + -8i = 0 Solving 9 + -8i = 0 Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8i = 0 + -9 -8i = 0 + -9 Combine like terms: 0 + -9 = -9 -8i = -9 Divide each side by '-8'. i = 1.125 Simplifying i = 1.125

Solution

i = {-0.75, 1.125}

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