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