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Simplifying (5x + -3yi) + 12x + -5i = 7x + 2yi Reorder the terms: (-3iy + 5x) + 12x + -5i = 7x + 2yi Remove parenthesis around (-3iy + 5x) -3iy + 5x + 12x + -5i = 7x + 2yi Reorder the terms: -5i + -3iy + 5x + 12x = 7x + 2yi Combine like terms: 5x + 12x = 17x -5i + -3iy + 17x = 7x + 2yi Reorder the terms: -5i + -3iy + 17x = 2iy + 7x Solving -5i + -3iy + 17x = 2iy + 7x 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. -5i + -3iy + -2iy + 17x = 2iy + -2iy + 7x Combine like terms: -3iy + -2iy = -5iy -5i + -5iy + 17x = 2iy + -2iy + 7x Combine like terms: 2iy + -2iy = 0 -5i + -5iy + 17x = 0 + 7x -5i + -5iy + 17x = 7x Add '-17x' to each side of the equation. -5i + -5iy + 17x + -17x = 7x + -17x Combine like terms: 17x + -17x = 0 -5i + -5iy + 0 = 7x + -17x -5i + -5iy = 7x + -17x Combine like terms: 7x + -17x = -10x -5i + -5iy = -10x Combine like terms: -10x + 10x = 0 -5i + -5iy + 10x = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1i + -1iy + 2x) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1i + -1iy + 2x)' equal to zero and attempt to solve: Simplifying -1i + -1iy + 2x = 0 Solving -1i + -1iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-2x' to each side of the equation. -1i + -1iy + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 -1i + -1iy + 0 = 0 + -2x -1i + -1iy = 0 + -2x Remove the zero: -1i + -1iy = -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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