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