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Simplifying 14x + -4iy = 28 + 12i Reorder the terms: -4iy + 14x = 28 + 12i Solving -4iy + 14x = 28 + 12i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12i' to each side of the equation. -4iy + -12i + 14x = 28 + 12i + -12i Reorder the terms: -12i + -4iy + 14x = 28 + 12i + -12i Combine like terms: 12i + -12i = 0 -12i + -4iy + 14x = 28 + 0 -12i + -4iy + 14x = 28 Add '-14x' to each side of the equation. -12i + -4iy + 14x + -14x = 28 + -14x Combine like terms: 14x + -14x = 0 -12i + -4iy + 0 = 28 + -14x -12i + -4iy = 28 + -14x Reorder the terms: -28 + -12i + -4iy + 14x = 28 + -14x + -28 + 14x Reorder the terms: -28 + -12i + -4iy + 14x = 28 + -28 + -14x + 14x Combine like terms: 28 + -28 = 0 -28 + -12i + -4iy + 14x = 0 + -14x + 14x -28 + -12i + -4iy + 14x = -14x + 14x Combine like terms: -14x + 14x = 0 -28 + -12i + -4iy + 14x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + -6i + -2iy + 7x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -6i + -2iy + 7x)' equal to zero and attempt to solve: Simplifying -14 + -6i + -2iy + 7x = 0 Solving -14 + -6i + -2iy + 7x = 0 Move all terms containing i to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -6i + -2iy + 14 + 7x = 0 + 14 Reorder the terms: -14 + 14 + -6i + -2iy + 7x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -6i + -2iy + 7x = 0 + 14 -6i + -2iy + 7x = 0 + 14 Combine like terms: 0 + 14 = 14 -6i + -2iy + 7x = 14 Add '-7x' to each side of the equation. -6i + -2iy + 7x + -7x = 14 + -7x Combine like terms: 7x + -7x = 0 -6i + -2iy + 0 = 14 + -7x -6i + -2iy = 14 + -7x 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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