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Simplifying 10 + -4yi = 2x + 24i Reorder the terms: 10 + -4iy = 24i + 2x Solving 10 + -4iy = 24i + 2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24i' to each side of the equation. 10 + -24i + -4iy = 24i + -24i + 2x Combine like terms: 24i + -24i = 0 10 + -24i + -4iy = 0 + 2x 10 + -24i + -4iy = 2x Add '-10' to each side of the equation. 10 + -24i + -10 + -4iy = -10 + 2x Reorder the terms: 10 + -10 + -24i + -4iy = -10 + 2x Combine like terms: 10 + -10 = 0 0 + -24i + -4iy = -10 + 2x -24i + -4iy = -10 + 2x Reorder the terms: 10 + -24i + -4iy + -2x = -10 + 2x + 10 + -2x Reorder the terms: 10 + -24i + -4iy + -2x = -10 + 10 + 2x + -2x Combine like terms: -10 + 10 = 0 10 + -24i + -4iy + -2x = 0 + 2x + -2x 10 + -24i + -4iy + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 10 + -24i + -4iy + -2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -12i + -2iy + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -12i + -2iy + -1x)' equal to zero and attempt to solve: Simplifying 5 + -12i + -2iy + -1x = 0 Solving 5 + -12i + -2iy + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -12i + -2iy + -5 + -1x = 0 + -5 Reorder the terms: 5 + -5 + -12i + -2iy + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12i + -2iy + -1x = 0 + -5 -12i + -2iy + -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -12i + -2iy + -1x = -5 Add 'x' to each side of the equation. -12i + -2iy + -1x + x = -5 + x Combine like terms: -1x + x = 0 -12i + -2iy + 0 = -5 + x -12i + -2iy = -5 + x 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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