4j^2-33j+8=0

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Solution for 4j^2-33j+8=0 equation:


Simplifying
4j2 + -33j + 8 = 0

Reorder the terms:
8 + -33j + 4j2 = 0

Solving
8 + -33j + 4j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(1 + -4j)(8 + -1j) = 0

Subproblem 1

Set the factor '(1 + -4j)' equal to zero and attempt to solve: Simplifying 1 + -4j = 0 Solving 1 + -4j = 0 Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4j = 0 + -1 -4j = 0 + -1 Combine like terms: 0 + -1 = -1 -4j = -1 Divide each side by '-4'. j = 0.25 Simplifying j = 0.25

Subproblem 2

Set the factor '(8 + -1j)' equal to zero and attempt to solve: Simplifying 8 + -1j = 0 Solving 8 + -1j = 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 + -1j = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1j = 0 + -8 -1j = 0 + -8 Combine like terms: 0 + -8 = -8 -1j = -8 Divide each side by '-1'. j = 8 Simplifying j = 8

Solution

j = {0.25, 8}

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