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Simplifying 24x + (6y) * i = 48 + -30i Remove parenthesis around (6y) 24x + 6y * i = 48 + -30i Multiply y * i 24x + 6iy = 48 + -30i Reorder the terms: 6iy + 24x = 48 + -30i Solving 6iy + 24x = 48 + -30i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '30i' to each side of the equation. 6iy + 30i + 24x = 48 + -30i + 30i Reorder the terms: 30i + 6iy + 24x = 48 + -30i + 30i Combine like terms: -30i + 30i = 0 30i + 6iy + 24x = 48 + 0 30i + 6iy + 24x = 48 Add '-24x' to each side of the equation. 30i + 6iy + 24x + -24x = 48 + -24x Combine like terms: 24x + -24x = 0 30i + 6iy + 0 = 48 + -24x 30i + 6iy = 48 + -24x Reorder the terms: -48 + 30i + 6iy + 24x = 48 + -24x + -48 + 24x Reorder the terms: -48 + 30i + 6iy + 24x = 48 + -48 + -24x + 24x Combine like terms: 48 + -48 = 0 -48 + 30i + 6iy + 24x = 0 + -24x + 24x -48 + 30i + 6iy + 24x = -24x + 24x Combine like terms: -24x + 24x = 0 -48 + 30i + 6iy + 24x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-8 + 5i + iy + 4x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-8 + 5i + iy + 4x)' equal to zero and attempt to solve: Simplifying -8 + 5i + iy + 4x = 0 Solving -8 + 5i + iy + 4x = 0 Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 5i + iy + 8 + 4x = 0 + 8 Reorder the terms: -8 + 8 + 5i + iy + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5i + iy + 4x = 0 + 8 5i + iy + 4x = 0 + 8 Combine like terms: 0 + 8 = 8 5i + iy + 4x = 8 Add '-4x' to each side of the equation. 5i + iy + 4x + -4x = 8 + -4x Combine like terms: 4x + -4x = 0 5i + iy + 0 = 8 + -4x 5i + iy = 8 + -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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