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Simplifying (z2 + -2iz)(z2 + 25) = 0 Reorder the terms: (-2iz + z2)(z2 + 25) = 0 Reorder the terms: (-2iz + z2)(25 + z2) = 0 Multiply (-2iz + z2) * (25 + z2) (-2iz * (25 + z2) + z2(25 + z2)) = 0 ((25 * -2iz + z2 * -2iz) + z2(25 + z2)) = 0 ((-50iz + -2iz3) + z2(25 + z2)) = 0 (-50iz + -2iz3 + (25 * z2 + z2 * z2)) = 0 (-50iz + -2iz3 + (25z2 + z4)) = 0 (-50iz + -2iz3 + 25z2 + z4) = 0 Solving -50iz + -2iz3 + 25z2 + z4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-25z2' to each side of the equation. -50iz + -2iz3 + 25z2 + -25z2 + z4 = 0 + -25z2 Combine like terms: 25z2 + -25z2 = 0 -50iz + -2iz3 + 0 + z4 = 0 + -25z2 -50iz + -2iz3 + z4 = 0 + -25z2 Remove the zero: -50iz + -2iz3 + z4 = -25z2 Add '-1z4' to each side of the equation. -50iz + -2iz3 + z4 + -1z4 = -25z2 + -1z4 Combine like terms: z4 + -1z4 = 0 -50iz + -2iz3 + 0 = -25z2 + -1z4 -50iz + -2iz3 = -25z2 + -1z4 Reorder the terms: -50iz + -2iz3 + 25z2 + z4 = -25z2 + 25z2 + -1z4 + z4 Combine like terms: -25z2 + 25z2 = 0 -50iz + -2iz3 + 25z2 + z4 = 0 + -1z4 + z4 -50iz + -2iz3 + 25z2 + z4 = -1z4 + z4 Combine like terms: -1z4 + z4 = 0 -50iz + -2iz3 + 25z2 + z4 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-50i + -2iz2 + 25z + z3) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing i to the left, all other terms to the right. Add '-1z' to each side of the equation. z + -1z = 0 + -1z Remove the zero: 0 = -1z Simplifying 0 = -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-50i + -2iz2 + 25z + z3)' equal to zero and attempt to solve: Simplifying -50i + -2iz2 + 25z + z3 = 0 Solving -50i + -2iz2 + 25z + z3 = 0 Move all terms containing i to the left, all other terms to the right. Add '-25z' to each side of the equation. -50i + -2iz2 + 25z + -25z + z3 = 0 + -25z Combine like terms: 25z + -25z = 0 -50i + -2iz2 + 0 + z3 = 0 + -25z -50i + -2iz2 + z3 = 0 + -25z Remove the zero: -50i + -2iz2 + z3 = -25z Add '-1z3' to each side of the equation. -50i + -2iz2 + z3 + -1z3 = -25z + -1z3 Combine like terms: z3 + -1z3 = 0 -50i + -2iz2 + 0 = -25z + -1z3 -50i + -2iz2 = -25z + -1z3 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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