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Simplifying 4 + -4i = 4x + -8yi Reorder the terms: 4 + -4i = -8iy + 4x Solving 4 + -4i = -8iy + 4x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8iy' to each side of the equation. 4 + -4i + 8iy = -8iy + 8iy + 4x Combine like terms: -8iy + 8iy = 0 4 + -4i + 8iy = 0 + 4x 4 + -4i + 8iy = 4x Add '-4' to each side of the equation. 4 + -4i + -4 + 8iy = -4 + 4x Reorder the terms: 4 + -4 + -4i + 8iy = -4 + 4x Combine like terms: 4 + -4 = 0 0 + -4i + 8iy = -4 + 4x -4i + 8iy = -4 + 4x Reorder the terms: 4 + -4i + 8iy + -4x = -4 + 4x + 4 + -4x Reorder the terms: 4 + -4i + 8iy + -4x = -4 + 4 + 4x + -4x Combine like terms: -4 + 4 = 0 4 + -4i + 8iy + -4x = 0 + 4x + -4x 4 + -4i + 8iy + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 4 + -4i + 8iy + -4x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -1i + 2iy + -1x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1i + 2iy + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1i + 2iy + -1x = 0 Solving 1 + -1i + 2iy + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1i + 2iy + -1 + -1x = 0 + -1 Reorder the terms: 1 + -1 + -1i + 2iy + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1i + 2iy + -1x = 0 + -1 -1i + 2iy + -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1i + 2iy + -1x = -1 Add 'x' to each side of the equation. -1i + 2iy + -1x + x = -1 + x Combine like terms: -1x + x = 0 -1i + 2iy + 0 = -1 + x -1i + 2iy = -1 + x 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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