-2j^2+8j-8=0

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Solution for -2j^2+8j-8=0 equation:


Simplifying
-2j2 + 8j + -8 = 0

Reorder the terms:
-8 + 8j + -2j2 = 0

Solving
-8 + 8j + -2j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4j + -1j2) = 0

Factor a trinomial.
2((-2 + j)(2 + -1j)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + j)' equal to zero and attempt to solve: Simplifying -2 + j = 0 Solving -2 + j = 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 + j = 0 + 2 Combine like terms: -2 + 2 = 0 0 + j = 0 + 2 j = 0 + 2 Combine like terms: 0 + 2 = 2 j = 2 Simplifying j = 2

Subproblem 2

Set the factor '(2 + -1j)' equal to zero and attempt to solve: Simplifying 2 + -1j = 0 Solving 2 + -1j = 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 + -1j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1j = 0 + -2 -1j = 0 + -2 Combine like terms: 0 + -2 = -2 -1j = -2 Divide each side by '-1'. j = 2 Simplifying j = 2

Solution

j = {2, 2}

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