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Simplifying -10x + 12i = 20i + 3yi Reorder the terms: 12i + -10x = 20i + 3yi Solving 12i + -10x = 20i + 3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20i' to each side of the equation. 12i + -20i + -10x = 20i + -20i + 3iy Combine like terms: 12i + -20i = -8i -8i + -10x = 20i + -20i + 3iy Combine like terms: 20i + -20i = 0 -8i + -10x = 0 + 3iy -8i + -10x = 3iy Add '-3iy' to each side of the equation. -8i + -3iy + -10x = 3iy + -3iy Combine like terms: 3iy + -3iy = 0 -8i + -3iy + -10x = 0 Add '10x' to each side of the equation. -8i + -3iy + -10x + 10x = 0 + 10x Combine like terms: -10x + 10x = 0 -8i + -3iy + 0 = 0 + 10x -8i + -3iy = 0 + 10x Remove the zero: -8i + -3iy = 10x Combine like terms: 10x + -10x = 0 -8i + -3iy + -10x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(8i + 3iy + 10x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8i + 3iy + 10x)' equal to zero and attempt to solve: Simplifying 8i + 3iy + 10x = 0 Solving 8i + 3iy + 10x = 0 Move all terms containing i to the left, all other terms to the right. Add '-10x' to each side of the equation. 8i + 3iy + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 8i + 3iy + 0 = 0 + -10x 8i + 3iy = 0 + -10x Remove the zero: 8i + 3iy = -10x 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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