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Simplifying
(-10i)(7i) + 4 = 0
Remove parenthesis around (-10i)
-10i(7i) + 4 = 0
Remove parenthesis around (7i)
-10i * 7i + 4 = 0
Reorder the terms for easier multiplication:
-10 * 7i * i + 4 = 0
Multiply -10 * 7
-70i * i + 4 = 0
Multiply i * i
-70i2 + 4 = 0
Reorder the terms:
4 + -70i2 = 0
Solving
4 + -70i2 = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -70i2 = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -70i2 = 0 + -4
-70i2 = 0 + -4
Combine like terms: 0 + -4 = -4
-70i2 = -4
Divide each side by '-70'.
i2 = 0.05714285714
Simplifying
i2 = 0.05714285714
Take the square root of each side:
i = {-0.239045722, 0.239045722}
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