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