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Simplifying 14 + -10i = 2x + -2yi Reorder the terms: 14 + -10i = -2iy + 2x Solving 14 + -10i = -2iy + 2x 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. 14 + -10i + 2iy = -2iy + 2iy + 2x Combine like terms: -2iy + 2iy = 0 14 + -10i + 2iy = 0 + 2x 14 + -10i + 2iy = 2x Add '-14' to each side of the equation. 14 + -10i + -14 + 2iy = -14 + 2x Reorder the terms: 14 + -14 + -10i + 2iy = -14 + 2x Combine like terms: 14 + -14 = 0 0 + -10i + 2iy = -14 + 2x -10i + 2iy = -14 + 2x Reorder the terms: 14 + -10i + 2iy + -2x = -14 + 2x + 14 + -2x Reorder the terms: 14 + -10i + 2iy + -2x = -14 + 14 + 2x + -2x Combine like terms: -14 + 14 = 0 14 + -10i + 2iy + -2x = 0 + 2x + -2x 14 + -10i + 2iy + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 14 + -10i + 2iy + -2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + -5i + iy + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -5i + iy + -1x)' equal to zero and attempt to solve: Simplifying 7 + -5i + iy + -1x = 0 Solving 7 + -5i + iy + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -5i + iy + -7 + -1x = 0 + -7 Reorder the terms: 7 + -7 + -5i + iy + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5i + iy + -1x = 0 + -7 -5i + iy + -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -5i + iy + -1x = -7 Add 'x' to each side of the equation. -5i + iy + -1x + x = -7 + x Combine like terms: -1x + x = 0 -5i + iy + 0 = -7 + x -5i + iy = -7 + 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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