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Simplifying
8j2 + -74 = -42
Reorder the terms:
-74 + 8j2 = -42
Solving
-74 + 8j2 = -42
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '74' to each side of the equation.
-74 + 74 + 8j2 = -42 + 74
Combine like terms: -74 + 74 = 0
0 + 8j2 = -42 + 74
8j2 = -42 + 74
Combine like terms: -42 + 74 = 32
8j2 = 32
Divide each side by '8'.
j2 = 4
Simplifying
j2 = 4
Take the square root of each side:
j = {-2, 2}
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