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Simplifying 4x + 10i = 2 + -1(4y) * i Reorder the terms: 10i + 4x = 2 + -1(4y) * i Remove parenthesis around (4y) 10i + 4x = 2 + -1 * 4y * i Multiply -1 * 4 10i + 4x = 2 + -4y * i Multiply y * i 10i + 4x = 2 + -4iy Solving 10i + 4x = 2 + -4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4iy' to each side of the equation. 10i + 4iy + 4x = 2 + -4iy + 4iy Combine like terms: -4iy + 4iy = 0 10i + 4iy + 4x = 2 + 0 10i + 4iy + 4x = 2 Add '-4x' to each side of the equation. 10i + 4iy + 4x + -4x = 2 + -4x Combine like terms: 4x + -4x = 0 10i + 4iy + 0 = 2 + -4x 10i + 4iy = 2 + -4x Reorder the terms: -2 + 10i + 4iy + 4x = 2 + -4x + -2 + 4x Reorder the terms: -2 + 10i + 4iy + 4x = 2 + -2 + -4x + 4x Combine like terms: 2 + -2 = 0 -2 + 10i + 4iy + 4x = 0 + -4x + 4x -2 + 10i + 4iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 10i + 4iy + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 5i + 2iy + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 5i + 2iy + 2x)' equal to zero and attempt to solve: Simplifying -1 + 5i + 2iy + 2x = 0 Solving -1 + 5i + 2iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5i + 2iy + 1 + 2x = 0 + 1 Reorder the terms: -1 + 1 + 5i + 2iy + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5i + 2iy + 2x = 0 + 1 5i + 2iy + 2x = 0 + 1 Combine like terms: 0 + 1 = 1 5i + 2iy + 2x = 1 Add '-2x' to each side of the equation. 5i + 2iy + 2x + -2x = 1 + -2x Combine like terms: 2x + -2x = 0 5i + 2iy + 0 = 1 + -2x 5i + 2iy = 1 + -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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