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Simplifying -8x + -1(4yi) = 12i + 24 Remove parenthesis around (4iy) -8x + -1 * 4iy = 12i + 24 Multiply -1 * 4 -8x + -4iy = 12i + 24 Reorder the terms: -4iy + -8x = 12i + 24 Reorder the terms: -4iy + -8x = 24 + 12i Solving -4iy + -8x = 24 + 12i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12i' to each side of the equation. -4iy + -12i + -8x = 24 + 12i + -12i Reorder the terms: -12i + -4iy + -8x = 24 + 12i + -12i Combine like terms: 12i + -12i = 0 -12i + -4iy + -8x = 24 + 0 -12i + -4iy + -8x = 24 Add '8x' to each side of the equation. -12i + -4iy + -8x + 8x = 24 + 8x Combine like terms: -8x + 8x = 0 -12i + -4iy + 0 = 24 + 8x -12i + -4iy = 24 + 8x Reorder the terms: -24 + -12i + -4iy + -8x = 24 + 8x + -24 + -8x Reorder the terms: -24 + -12i + -4iy + -8x = 24 + -24 + 8x + -8x Combine like terms: 24 + -24 = 0 -24 + -12i + -4iy + -8x = 0 + 8x + -8x -24 + -12i + -4iy + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -12i + -4iy + -8x = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(6 + 3i + iy + 2x) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(6 + 3i + iy + 2x)' equal to zero and attempt to solve: Simplifying 6 + 3i + iy + 2x = 0 Solving 6 + 3i + iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3i + iy + -6 + 2x = 0 + -6 Reorder the terms: 6 + -6 + 3i + iy + 2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3i + iy + 2x = 0 + -6 3i + iy + 2x = 0 + -6 Combine like terms: 0 + -6 = -6 3i + iy + 2x = -6 Add '-2x' to each side of the equation. 3i + iy + 2x + -2x = -6 + -2x Combine like terms: 2x + -2x = 0 3i + iy + 0 = -6 + -2x 3i + iy = -6 + -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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