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