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Simplifying 10x + 6i = -60 + -1(24y) * i Reorder the terms: 6i + 10x = -60 + -1(24y) * i Remove parenthesis around (24y) 6i + 10x = -60 + -1 * 24y * i Multiply -1 * 24 6i + 10x = -60 + -24y * i Multiply y * i 6i + 10x = -60 + -24iy Solving 6i + 10x = -60 + -24iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '24iy' to each side of the equation. 6i + 24iy + 10x = -60 + -24iy + 24iy Combine like terms: -24iy + 24iy = 0 6i + 24iy + 10x = -60 + 0 6i + 24iy + 10x = -60 Add '-10x' to each side of the equation. 6i + 24iy + 10x + -10x = -60 + -10x Combine like terms: 10x + -10x = 0 6i + 24iy + 0 = -60 + -10x 6i + 24iy = -60 + -10x Reorder the terms: 60 + 6i + 24iy + 10x = -60 + -10x + 60 + 10x Reorder the terms: 60 + 6i + 24iy + 10x = -60 + 60 + -10x + 10x Combine like terms: -60 + 60 = 0 60 + 6i + 24iy + 10x = 0 + -10x + 10x 60 + 6i + 24iy + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 60 + 6i + 24iy + 10x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(30 + 3i + 12iy + 5x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(30 + 3i + 12iy + 5x)' equal to zero and attempt to solve: Simplifying 30 + 3i + 12iy + 5x = 0 Solving 30 + 3i + 12iy + 5x = 0 Move all terms containing i to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 3i + 12iy + -30 + 5x = 0 + -30 Reorder the terms: 30 + -30 + 3i + 12iy + 5x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 3i + 12iy + 5x = 0 + -30 3i + 12iy + 5x = 0 + -30 Combine like terms: 0 + -30 = -30 3i + 12iy + 5x = -30 Add '-5x' to each side of the equation. 3i + 12iy + 5x + -5x = -30 + -5x Combine like terms: 5x + -5x = 0 3i + 12iy + 0 = -30 + -5x 3i + 12iy = -30 + -5x 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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