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Simplifying
(j + 7)(j + -7) = 0
Reorder the terms:
(7 + j)(j + -7) = 0
Reorder the terms:
(7 + j)(-7 + j) = 0
Multiply (7 + j) * (-7 + j)
(7(-7 + j) + j(-7 + j)) = 0
((-7 * 7 + j * 7) + j(-7 + j)) = 0
((-49 + 7j) + j(-7 + j)) = 0
(-49 + 7j + (-7 * j + j * j)) = 0
(-49 + 7j + (-7j + j2)) = 0
Combine like terms: 7j + -7j = 0
(-49 + 0 + j2) = 0
(-49 + j2) = 0
Solving
-49 + j2 = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + j2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + j2 = 0 + 49
j2 = 0 + 49
Combine like terms: 0 + 49 = 49
j2 = 49
Simplifying
j2 = 49
Take the square root of each side:
j = {-7, 7}
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