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Simplifying 4(-1x + -7yi) = 36 + -14i + 4 Reorder the terms: 4(-7iy + -1x) = 36 + -14i + 4 (-7iy * 4 + -1x * 4) = 36 + -14i + 4 (-28iy + -4x) = 36 + -14i + 4 Reorder the terms: -28iy + -4x = 36 + 4 + -14i Combine like terms: 36 + 4 = 40 -28iy + -4x = 40 + -14i Solving -28iy + -4x = 40 + -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. -28iy + 14i + -4x = 40 + -14i + 14i Reorder the terms: 14i + -28iy + -4x = 40 + -14i + 14i Combine like terms: -14i + 14i = 0 14i + -28iy + -4x = 40 + 0 14i + -28iy + -4x = 40 Add '4x' to each side of the equation. 14i + -28iy + -4x + 4x = 40 + 4x Combine like terms: -4x + 4x = 0 14i + -28iy + 0 = 40 + 4x 14i + -28iy = 40 + 4x Reorder the terms: -40 + 14i + -28iy + -4x = 40 + 4x + -40 + -4x Reorder the terms: -40 + 14i + -28iy + -4x = 40 + -40 + 4x + -4x Combine like terms: 40 + -40 = 0 -40 + 14i + -28iy + -4x = 0 + 4x + -4x -40 + 14i + -28iy + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 14i + -28iy + -4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 7i + -14iy + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + 7i + -14iy + -2x)' equal to zero and attempt to solve: Simplifying -20 + 7i + -14iy + -2x = 0 Solving -20 + 7i + -14iy + -2x = 0 Move all terms containing i to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 7i + -14iy + 20 + -2x = 0 + 20 Reorder the terms: -20 + 20 + 7i + -14iy + -2x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 7i + -14iy + -2x = 0 + 20 7i + -14iy + -2x = 0 + 20 Combine like terms: 0 + 20 = 20 7i + -14iy + -2x = 20 Add '2x' to each side of the equation. 7i + -14iy + -2x + 2x = 20 + 2x Combine like terms: -2x + 2x = 0 7i + -14iy + 0 = 20 + 2x 7i + -14iy = 20 + 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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