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Simplifying 4 + 2yi = 8x + -10i Reorder the terms: 4 + 2iy = -10i + 8x Solving 4 + 2iy = -10i + 8x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10i' to each side of the equation. 4 + 10i + 2iy = -10i + 10i + 8x Combine like terms: -10i + 10i = 0 4 + 10i + 2iy = 0 + 8x 4 + 10i + 2iy = 8x Add '-4' to each side of the equation. 4 + 10i + -4 + 2iy = -4 + 8x Reorder the terms: 4 + -4 + 10i + 2iy = -4 + 8x Combine like terms: 4 + -4 = 0 0 + 10i + 2iy = -4 + 8x 10i + 2iy = -4 + 8x Reorder the terms: 4 + 10i + 2iy + -8x = -4 + 8x + 4 + -8x Reorder the terms: 4 + 10i + 2iy + -8x = -4 + 4 + 8x + -8x Combine like terms: -4 + 4 = 0 4 + 10i + 2iy + -8x = 0 + 8x + -8x 4 + 10i + 2iy + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 4 + 10i + 2iy + -8x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 5i + iy + -4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 5i + iy + -4x)' equal to zero and attempt to solve: Simplifying 2 + 5i + iy + -4x = 0 Solving 2 + 5i + iy + -4x = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5i + iy + -2 + -4x = 0 + -2 Reorder the terms: 2 + -2 + 5i + iy + -4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5i + iy + -4x = 0 + -2 5i + iy + -4x = 0 + -2 Combine like terms: 0 + -2 = -2 5i + iy + -4x = -2 Add '4x' to each side of the equation. 5i + iy + -4x + 4x = -2 + 4x Combine like terms: -4x + 4x = 0 5i + iy + 0 = -2 + 4x 5i + iy = -2 + 4x 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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