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Simplifying 12x + 3i = 36 + 6yi Reorder the terms: 3i + 12x = 36 + 6yi Solving 3i + 12x = 36 + 6iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6iy' to each side of the equation. 3i + -6iy + 12x = 36 + 6iy + -6iy Combine like terms: 6iy + -6iy = 0 3i + -6iy + 12x = 36 + 0 3i + -6iy + 12x = 36 Add '-12x' to each side of the equation. 3i + -6iy + 12x + -12x = 36 + -12x Combine like terms: 12x + -12x = 0 3i + -6iy + 0 = 36 + -12x 3i + -6iy = 36 + -12x Reorder the terms: -36 + 3i + -6iy + 12x = 36 + -12x + -36 + 12x Reorder the terms: -36 + 3i + -6iy + 12x = 36 + -36 + -12x + 12x Combine like terms: 36 + -36 = 0 -36 + 3i + -6iy + 12x = 0 + -12x + 12x -36 + 3i + -6iy + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 -36 + 3i + -6iy + 12x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + i + -2iy + 4x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-12 + i + -2iy + 4x)' equal to zero and attempt to solve: Simplifying -12 + i + -2iy + 4x = 0 Solving -12 + i + -2iy + 4x = 0 Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + i + -2iy + 12 + 4x = 0 + 12 Reorder the terms: -12 + 12 + i + -2iy + 4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + i + -2iy + 4x = 0 + 12 i + -2iy + 4x = 0 + 12 Combine like terms: 0 + 12 = 12 i + -2iy + 4x = 12 Add '-4x' to each side of the equation. i + -2iy + 4x + -4x = 12 + -4x Combine like terms: 4x + -4x = 0 i + -2iy + 0 = 12 + -4x i + -2iy = 12 + -4x 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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