-6i(8-6i)(8-8i)=0

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Solution for -6i(8-6i)(8-8i)=0 equation:


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

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

Combine like terms: -64i + -48i = -112i
-6i(64 + -112i + 48i2) = 0
(64 * -6i + -112i * -6i + 48i2 * -6i) = 0
(-384i + 672i2 + -288i3) = 0

Solving
-384i + 672i2 + -288i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '96i'.
96i(-4 + 7i + -3i2) = 0

Factor a trinomial.
96i((-4 + 3i)(1 + -1i)) = 0

Ignore the factor 96.

Subproblem 1

Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0

Subproblem 2

Set the factor '(-4 + 3i)' equal to zero and attempt to solve: Simplifying -4 + 3i = 0 Solving -4 + 3i = 0 Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3i = 0 + 4 3i = 0 + 4 Combine like terms: 0 + 4 = 4 3i = 4 Divide each side by '3'. i = 1.333333333 Simplifying i = 1.333333333

Subproblem 3

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

Solution

i = {0, 1.333333333, 1}

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