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Simplifying
6i * 6i + -3 = 0
Reorder the terms for easier multiplication:
6 * 6i * i + -3 = 0
Multiply 6 * 6
36i * i + -3 = 0
Multiply i * i
36i2 + -3 = 0
Reorder the terms:
-3 + 36i2 = 0
Solving
-3 + 36i2 = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 36i2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 36i2 = 0 + 3
36i2 = 0 + 3
Combine like terms: 0 + 3 = 3
36i2 = 3
Divide each side by '36'.
i2 = 0.08333333333
Simplifying
i2 = 0.08333333333
Take the square root of each side:
i = {-0.288675135, 0.288675135}
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