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Simplifying
(5x2 + -2i)(5x2 + 2i) = 0
Reorder the terms:
(-2i + 5x2)(5x2 + 2i) = 0
Reorder the terms:
(-2i + 5x2)(2i + 5x2) = 0
Multiply (-2i + 5x2) * (2i + 5x2)
(-2i * (2i + 5x2) + 5x2 * (2i + 5x2)) = 0
((2i * -2i + 5x2 * -2i) + 5x2 * (2i + 5x2)) = 0
Reorder the terms:
((-10ix2 + -4i2) + 5x2 * (2i + 5x2)) = 0
((-10ix2 + -4i2) + 5x2 * (2i + 5x2)) = 0
(-10ix2 + -4i2 + (2i * 5x2 + 5x2 * 5x2)) = 0
(-10ix2 + -4i2 + (10ix2 + 25x4)) = 0
Reorder the terms:
(-10ix2 + 10ix2 + -4i2 + 25x4) = 0
Combine like terms: -10ix2 + 10ix2 = 0
(0 + -4i2 + 25x4) = 0
(-4i2 + 25x4) = 0
Solving
-4i2 + 25x4 = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-25x4' to each side of the equation.
-4i2 + 25x4 + -25x4 = 0 + -25x4
Combine like terms: 25x4 + -25x4 = 0
-4i2 + 0 = 0 + -25x4
-4i2 = 0 + -25x4
Remove the zero:
-4i2 = -25x4
Divide each side by '-4'.
i2 = 6.25x4
Simplifying
i2 = 6.25x4
Take the square root of each side:
i = {-2.5x2, 2.5x2}
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