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Simplifying 2x + -20i = 8i + -1(4y) * i Reorder the terms: -20i + 2x = 8i + -1(4y) * i Remove parenthesis around (4y) -20i + 2x = 8i + -1 * 4y * i Multiply -1 * 4 -20i + 2x = 8i + -4y * i Multiply y * i -20i + 2x = 8i + -4iy Solving -20i + 2x = 8i + -4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. -20i + -8i + 2x = 8i + -8i + -4iy Combine like terms: -20i + -8i = -28i -28i + 2x = 8i + -8i + -4iy Combine like terms: 8i + -8i = 0 -28i + 2x = 0 + -4iy -28i + 2x = -4iy Add '4iy' to each side of the equation. -28i + 4iy + 2x = -4iy + 4iy Combine like terms: -4iy + 4iy = 0 -28i + 4iy + 2x = 0 Add '-2x' to each side of the equation. -28i + 4iy + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 -28i + 4iy + 0 = 0 + -2x -28i + 4iy = 0 + -2x Remove the zero: -28i + 4iy = -2x Combine like terms: -2x + 2x = 0 -28i + 4iy + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14i + 2iy + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14i + 2iy + x)' equal to zero and attempt to solve: Simplifying -14i + 2iy + x = 0 Solving -14i + 2iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. -14i + 2iy + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -14i + 2iy + 0 = 0 + -1x -14i + 2iy = 0 + -1x Remove the zero: -14i + 2iy = -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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