-13j(4j-32)=507

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Solution for -13j(4j-32)=507 equation:


Simplifying
-13j(4j + -32) = 507

Reorder the terms:
-13j(-32 + 4j) = 507
(-32 * -13j + 4j * -13j) = 507
(416j + -52j2) = 507

Solving
416j + -52j2 = 507

Solving for variable 'j'.

Reorder the terms:
-507 + 416j + -52j2 = 507 + -507

Combine like terms: 507 + -507 = 0
-507 + 416j + -52j2 = 0

Factor out the Greatest Common Factor (GCF), '13'.
13(-39 + 32j + -4j2) = 0

Factor a trinomial.
13((-13 + 2j)(3 + -2j)) = 0

Ignore the factor 13.

Subproblem 1

Set the factor '(-13 + 2j)' equal to zero and attempt to solve: Simplifying -13 + 2j = 0 Solving -13 + 2j = 0 Move all terms containing j to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2j = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2j = 0 + 13 2j = 0 + 13 Combine like terms: 0 + 13 = 13 2j = 13 Divide each side by '2'. j = 6.5 Simplifying j = 6.5

Subproblem 2

Set the factor '(3 + -2j)' equal to zero and attempt to solve: Simplifying 3 + -2j = 0 Solving 3 + -2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2j = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2j = 0 + -3 -2j = 0 + -3 Combine like terms: 0 + -3 = -3 -2j = -3 Divide each side by '-2'. j = 1.5 Simplifying j = 1.5

Solution

j = {6.5, 1.5}

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