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

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

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

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

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

Multiply (7 + 2j) * (-7 + 2j)
(7(-7 + 2j) + 2j * (-7 + 2j)) = 0
((-7 * 7 + 2j * 7) + 2j * (-7 + 2j)) = 0
((-49 + 14j) + 2j * (-7 + 2j)) = 0
(-49 + 14j + (-7 * 2j + 2j * 2j)) = 0
(-49 + 14j + (-14j + 4j2)) = 0

Combine like terms: 14j + -14j = 0
(-49 + 0 + 4j2) = 0
(-49 + 4j2) = 0

Solving
-49 + 4j2 = 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 + 4j2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4j2 = 0 + 49
4j2 = 0 + 49

Combine like terms: 0 + 49 = 49
4j2 = 49

Divide each side by '4'.
j2 = 12.25

Simplifying
j2 = 12.25

Take the square root of each side:
j = {-3.5, 3.5}