(7j-5)(2j+7)=0

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Solution for (7j-5)(2j+7)=0 equation:


Simplifying
(7j + -5)(2j + 7) = 0

Reorder the terms:
(-5 + 7j)(2j + 7) = 0

Reorder the terms:
(-5 + 7j)(7 + 2j) = 0

Multiply (-5 + 7j) * (7 + 2j)
(-5(7 + 2j) + 7j * (7 + 2j)) = 0
((7 * -5 + 2j * -5) + 7j * (7 + 2j)) = 0
((-35 + -10j) + 7j * (7 + 2j)) = 0
(-35 + -10j + (7 * 7j + 2j * 7j)) = 0
(-35 + -10j + (49j + 14j2)) = 0

Combine like terms: -10j + 49j = 39j
(-35 + 39j + 14j2) = 0

Solving
-35 + 39j + 14j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(-7 + -2j)(5 + -7j) = 0

Subproblem 1

Set the factor '(-7 + -2j)' equal to zero and attempt to solve: Simplifying -7 + -2j = 0 Solving -7 + -2j = 0 Move all terms containing j to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2j = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2j = 0 + 7 -2j = 0 + 7 Combine like terms: 0 + 7 = 7 -2j = 7 Divide each side by '-2'. j = -3.5 Simplifying j = -3.5

Subproblem 2

Set the factor '(5 + -7j)' equal to zero and attempt to solve: Simplifying 5 + -7j = 0 Solving 5 + -7j = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7j = 0 + -5 -7j = 0 + -5 Combine like terms: 0 + -5 = -5 -7j = -5 Divide each side by '-7'. j = 0.7142857143 Simplifying j = 0.7142857143

Solution

j = {-3.5, 0.7142857143}

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