0.6(i-0.6)=-0.3(i-1.8)

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Solution for 0.6(i-0.6)=-0.3(i-1.8) equation: 


Simplifying
0.6(i + -0.6) = -0.3(i + -1.8)

Reorder the terms:
0.6(-0.6 + i) = -0.3(i + -1.8)
(-0.6 * 0.6 + i * 0.6) = -0.3(i + -1.8)
(-0.36 + 0.6i) = -0.3(i + -1.8)

Reorder the terms:
-0.36 + 0.6i = -0.3(-1.8 + i)
-0.36 + 0.6i = (-1.8 * -0.3 + i * -0.3)
-0.36 + 0.6i = (0.54 + -0.3i)

Solving
-0.36 + 0.6i = 0.54 + -0.3i

Solving for variable 'i'.

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

Add '0.3i' to each side of the equation.
-0.36 + 0.6i + 0.3i = 0.54 + -0.3i + 0.3i

Combine like terms: 0.6i + 0.3i = 0.9i
-0.36 + 0.9i = 0.54 + -0.3i + 0.3i

Combine like terms: -0.3i + 0.3i = 0.0
-0.36 + 0.9i = 0.54 + 0.0
-0.36 + 0.9i = 0.54

Add '0.36' to each side of the equation.
-0.36 + 0.36 + 0.9i = 0.54 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + 0.9i = 0.54 + 0.36
0.9i = 0.54 + 0.36

Combine like terms: 0.54 + 0.36 = 0.9
0.9i = 0.9

Divide each side by '0.9'.
i = 1

Simplifying
i = 1

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