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Simplifying -14 + -3i = 2x + yi Reorder the terms: -14 + -3i = iy + 2x Solving -14 + -3i = iy + 2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. -14 + -3i + -1iy = iy + -1iy + 2x Combine like terms: iy + -1iy = 0 -14 + -3i + -1iy = 0 + 2x -14 + -3i + -1iy = 2x Add '14' to each side of the equation. -14 + -3i + 14 + -1iy = 14 + 2x Reorder the terms: -14 + 14 + -3i + -1iy = 14 + 2x Combine like terms: -14 + 14 = 0 0 + -3i + -1iy = 14 + 2x -3i + -1iy = 14 + 2x Reorder the terms: -14 + -3i + -1iy + -2x = 14 + 2x + -14 + -2x Reorder the terms: -14 + -3i + -1iy + -2x = 14 + -14 + 2x + -2x Combine like terms: 14 + -14 = 0 -14 + -3i + -1iy + -2x = 0 + 2x + -2x -14 + -3i + -1iy + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -3i + -1iy + -2x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(14 + 3i + iy + 2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(14 + 3i + iy + 2x)' equal to zero and attempt to solve: Simplifying 14 + 3i + iy + 2x = 0 Solving 14 + 3i + iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 3i + iy + -14 + 2x = 0 + -14 Reorder the terms: 14 + -14 + 3i + iy + 2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3i + iy + 2x = 0 + -14 3i + iy + 2x = 0 + -14 Combine like terms: 0 + -14 = -14 3i + iy + 2x = -14 Add '-2x' to each side of the equation. 3i + iy + 2x + -2x = -14 + -2x Combine like terms: 2x + -2x = 0 3i + iy + 0 = -14 + -2x 3i + iy = -14 + -2x 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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