j(2-3j)(8-5j)=

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Solution for j(2-3j)(8-5j)= equation:


Simplifying
j(2 + -3j)(8 + -5j) = 0

Multiply (2 + -3j) * (8 + -5j)
j(2(8 + -5j) + -3j * (8 + -5j)) = 0
j((8 * 2 + -5j * 2) + -3j * (8 + -5j)) = 0
j((16 + -10j) + -3j * (8 + -5j)) = 0
j(16 + -10j + (8 * -3j + -5j * -3j)) = 0
j(16 + -10j + (-24j + 15j2)) = 0

Combine like terms: -10j + -24j = -34j
j(16 + -34j + 15j2) = 0
(16 * j + -34j * j + 15j2 * j) = 0
(16j + -34j2 + 15j3) = 0

Solving
16j + -34j2 + 15j3 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), 'j'.
j(16 + -34j + 15j2) = 0

Factor a trinomial.
j((2 + -3j)(8 + -5j)) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -3j)' equal to zero and attempt to solve: Simplifying 2 + -3j = 0 Solving 2 + -3j = 0 Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3j = 0 + -2 -3j = 0 + -2 Combine like terms: 0 + -2 = -2 -3j = -2 Divide each side by '-3'. j = 0.6666666667 Simplifying j = 0.6666666667

Subproblem 3

Set the factor '(8 + -5j)' equal to zero and attempt to solve: Simplifying 8 + -5j = 0 Solving 8 + -5j = 0 Move all terms containing j to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5j = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5j = 0 + -8 -5j = 0 + -8 Combine like terms: 0 + -8 = -8 -5j = -8 Divide each side by '-5'. j = 1.6 Simplifying j = 1.6

Solution

j = {0, 0.6666666667, 1.6}

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