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Simplifying 4x + 36i = -32 + -4yi Reorder the terms: 36i + 4x = -32 + -4yi Solving 36i + 4x = -32 + -4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4iy' to each side of the equation. 36i + 4iy + 4x = -32 + -4iy + 4iy Combine like terms: -4iy + 4iy = 0 36i + 4iy + 4x = -32 + 0 36i + 4iy + 4x = -32 Add '-4x' to each side of the equation. 36i + 4iy + 4x + -4x = -32 + -4x Combine like terms: 4x + -4x = 0 36i + 4iy + 0 = -32 + -4x 36i + 4iy = -32 + -4x Reorder the terms: 32 + 36i + 4iy + 4x = -32 + -4x + 32 + 4x Reorder the terms: 32 + 36i + 4iy + 4x = -32 + 32 + -4x + 4x Combine like terms: -32 + 32 = 0 32 + 36i + 4iy + 4x = 0 + -4x + 4x 32 + 36i + 4iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 32 + 36i + 4iy + 4x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(8 + 9i + iy + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(8 + 9i + iy + x)' equal to zero and attempt to solve: Simplifying 8 + 9i + iy + x = 0 Solving 8 + 9i + iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 9i + iy + -8 + x = 0 + -8 Reorder the terms: 8 + -8 + 9i + iy + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9i + iy + x = 0 + -8 9i + iy + x = 0 + -8 Combine like terms: 0 + -8 = -8 9i + iy + x = -8 Add '-1x' to each side of the equation. 9i + iy + x + -1x = -8 + -1x Combine like terms: x + -1x = 0 9i + iy + 0 = -8 + -1x 9i + iy = -8 + -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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