-2x+6i=9(-24y)i-14

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Solution for -2x+6i=9(-24y)i-14 equation:


Simplifying
-2x + 6i = 9(-24y) * i + -14

Reorder the terms:
6i + -2x = 9(-24y) * i + -14

Remove parenthesis around (-24y)
6i + -2x = 9 * -24y * i + -14

Multiply 9 * -24
6i + -2x = -216y * i + -14

Multiply y * i
6i + -2x = -216iy + -14

Reorder the terms:
6i + -2x = -14 + -216iy

Solving
6i + -2x = -14 + -216iy

Solving for variable 'i'.

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

Add '216iy' to each side of the equation.
6i + 216iy + -2x = -14 + -216iy + 216iy

Combine like terms: -216iy + 216iy = 0
6i + 216iy + -2x = -14 + 0
6i + 216iy + -2x = -14

Add '2x' to each side of the equation.
6i + 216iy + -2x + 2x = -14 + 2x

Combine like terms: -2x + 2x = 0
6i + 216iy + 0 = -14 + 2x
6i + 216iy = -14 + 2x

Reorder the terms:
14 + 6i + 216iy + -2x = -14 + 2x + 14 + -2x

Reorder the terms:
14 + 6i + 216iy + -2x = -14 + 14 + 2x + -2x

Combine like terms: -14 + 14 = 0
14 + 6i + 216iy + -2x = 0 + 2x + -2x
14 + 6i + 216iy + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
14 + 6i + 216iy + -2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 3i + 108iy + -1x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + 3i + 108iy + -1x)' equal to zero and attempt to solve: Simplifying 7 + 3i + 108iy + -1x = 0 Solving 7 + 3i + 108iy + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 3i + 108iy + -7 + -1x = 0 + -7 Reorder the terms: 7 + -7 + 3i + 108iy + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3i + 108iy + -1x = 0 + -7 3i + 108iy + -1x = 0 + -7 Combine like terms: 0 + -7 = -7 3i + 108iy + -1x = -7 Add 'x' to each side of the equation. 3i + 108iy + -1x + x = -7 + x Combine like terms: -1x + x = 0 3i + 108iy + 0 = -7 + x 3i + 108iy = -7 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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