(2x+7i)(2x-7i)=

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Solution for (2x+7i)(2x-7i)= equation: 


Simplifying
(2x + 7i)(2x + -7i) = 0

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

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

Multiply (7i + 2x) * (-7i + 2x)
(7i * (-7i + 2x) + 2x * (-7i + 2x)) = 0
((-7i * 7i + 2x * 7i) + 2x * (-7i + 2x)) = 0

Reorder the terms:
((14ix + -49i2) + 2x * (-7i + 2x)) = 0
((14ix + -49i2) + 2x * (-7i + 2x)) = 0
(14ix + -49i2 + (-7i * 2x + 2x * 2x)) = 0
(14ix + -49i2 + (-14ix + 4x2)) = 0

Reorder the terms:
(14ix + -14ix + -49i2 + 4x2) = 0

Combine like terms: 14ix + -14ix = 0
(0 + -49i2 + 4x2) = 0
(-49i2 + 4x2) = 0

Solving
-49i2 + 4x2 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-4x2' to each side of the equation.
-49i2 + 4x2 + -4x2 = 0 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-49i2 + 0 = 0 + -4x2
-49i2 = 0 + -4x2
Remove the zero:
-49i2 = -4x2

Divide each side by '-49'.
i2 = 0.08163265306x2

Simplifying
i2 = 0.08163265306x2

Take the square root of each side:
i = {-0.285714286x, 0.285714286x}

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