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Simplifying 2x + 28iy = -64 + -84i Reorder the terms: 28iy + 2x = -64 + -84i Solving 28iy + 2x = -64 + -84i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '84i' to each side of the equation. 28iy + 84i + 2x = -64 + -84i + 84i Reorder the terms: 84i + 28iy + 2x = -64 + -84i + 84i Combine like terms: -84i + 84i = 0 84i + 28iy + 2x = -64 + 0 84i + 28iy + 2x = -64 Add '-2x' to each side of the equation. 84i + 28iy + 2x + -2x = -64 + -2x Combine like terms: 2x + -2x = 0 84i + 28iy + 0 = -64 + -2x 84i + 28iy = -64 + -2x Reorder the terms: 64 + 84i + 28iy + 2x = -64 + -2x + 64 + 2x Reorder the terms: 64 + 84i + 28iy + 2x = -64 + 64 + -2x + 2x Combine like terms: -64 + 64 = 0 64 + 84i + 28iy + 2x = 0 + -2x + 2x 64 + 84i + 28iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 64 + 84i + 28iy + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(32 + 42i + 14iy + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(32 + 42i + 14iy + x)' equal to zero and attempt to solve: Simplifying 32 + 42i + 14iy + x = 0 Solving 32 + 42i + 14iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 42i + 14iy + -32 + x = 0 + -32 Reorder the terms: 32 + -32 + 42i + 14iy + x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 42i + 14iy + x = 0 + -32 42i + 14iy + x = 0 + -32 Combine like terms: 0 + -32 = -32 42i + 14iy + x = -32 Add '-1x' to each side of the equation. 42i + 14iy + x + -1x = -32 + -1x Combine like terms: x + -1x = 0 42i + 14iy + 0 = -32 + -1x 42i + 14iy = -32 + -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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