5(x-1)+(3y)i=15i-20

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Solution for 5(x-1)+(3y)i=15i-20 equation:


Simplifying
5(x + -1) + (3y) * i = 15i + -20

Reorder the terms:
5(-1 + x) + (3y) * i = 15i + -20
(-1 * 5 + x * 5) + (3y) * i = 15i + -20
(-5 + 5x) + (3y) * i = 15i + -20

Remove parenthesis around (3y)
-5 + 5x + 3y * i = 15i + -20

Multiply y * i
-5 + 5x + 3iy = 15i + -20

Reorder the terms:
-5 + 3iy + 5x = 15i + -20

Reorder the terms:
-5 + 3iy + 5x = -20 + 15i

Solving
-5 + 3iy + 5x = -20 + 15i

Solving for variable 'i'.

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

Add '-15i' to each side of the equation.
-5 + 3iy + -15i + 5x = -20 + 15i + -15i

Reorder the terms:
-5 + -15i + 3iy + 5x = -20 + 15i + -15i

Combine like terms: 15i + -15i = 0
-5 + -15i + 3iy + 5x = -20 + 0
-5 + -15i + 3iy + 5x = -20

Add '5' to each side of the equation.
-5 + -15i + 3iy + 5 + 5x = -20 + 5

Reorder the terms:
-5 + 5 + -15i + 3iy + 5x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + -15i + 3iy + 5x = -20 + 5
-15i + 3iy + 5x = -20 + 5

Combine like terms: -20 + 5 = -15
-15i + 3iy + 5x = -15

Add '-5x' to each side of the equation.
-15i + 3iy + 5x + -5x = -15 + -5x

Combine like terms: 5x + -5x = 0
-15i + 3iy + 0 = -15 + -5x
-15i + 3iy = -15 + -5x

Reorder the terms:
15 + -15i + 3iy + 5x = -15 + -5x + 15 + 5x

Reorder the terms:
15 + -15i + 3iy + 5x = -15 + 15 + -5x + 5x

Combine like terms: -15 + 15 = 0
15 + -15i + 3iy + 5x = 0 + -5x + 5x
15 + -15i + 3iy + 5x = -5x + 5x

Combine like terms: -5x + 5x = 0
15 + -15i + 3iy + 5x = 0

The solution to this equation could not be determined.

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