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Simplifying -6 + 10i = 12 + 2yi Solving -6 + 10i = 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. -6 + 10i + -2iy = 12 + 2iy + -2iy Combine like terms: 2iy + -2iy = 0 -6 + 10i + -2iy = 12 + 0 -6 + 10i + -2iy = 12 Add '6' to each side of the equation. -6 + 10i + 6 + -2iy = 12 + 6 Reorder the terms: -6 + 6 + 10i + -2iy = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 10i + -2iy = 12 + 6 10i + -2iy = 12 + 6 Combine like terms: 12 + 6 = 18 10i + -2iy = 18 Reorder the terms: -18 + 10i + -2iy = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 10i + -2iy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 5i + -1iy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 5i + -1iy)' equal to zero and attempt to solve: Simplifying -9 + 5i + -1iy = 0 Solving -9 + 5i + -1iy = 0 Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 5i + 9 + -1iy = 0 + 9 Reorder the terms: -9 + 9 + 5i + -1iy = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5i + -1iy = 0 + 9 5i + -1iy = 0 + 9 Combine like terms: 0 + 9 = 9 5i + -1iy = 9 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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