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Simplifying -4(3 + -6d) = 9(2d + -2) * i (3 * -4 + -6d * -4) = 9(2d + -2) * i (-12 + 24d) = 9(2d + -2) * i Reorder the terms: -12 + 24d = 9(-2 + 2d) * i Reorder the terms for easier multiplication: -12 + 24d = 9i(-2 + 2d) -12 + 24d = (-2 * 9i + 2d * 9i) Reorder the terms: -12 + 24d = (18di + -18i) -12 + 24d = (18di + -18i) Solving -12 + 24d = 18di + -18i Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18di' to each side of the equation. -12 + 24d + -18di = 18di + -18di + -18i Combine like terms: 18di + -18di = 0 -12 + 24d + -18di = 0 + -18i -12 + 24d + -18di = -18i Add '12' to each side of the equation. -12 + 24d + 12 + -18di = 12 + -18i Reorder the terms: -12 + 12 + 24d + -18di = 12 + -18i Combine like terms: -12 + 12 = 0 0 + 24d + -18di = 12 + -18i 24d + -18di = 12 + -18i Reorder the terms: -12 + 24d + -18di + 18i = 12 + -18i + -12 + 18i Reorder the terms: -12 + 24d + -18di + 18i = 12 + -12 + -18i + 18i Combine like terms: 12 + -12 = 0 -12 + 24d + -18di + 18i = 0 + -18i + 18i -12 + 24d + -18di + 18i = -18i + 18i Combine like terms: -18i + 18i = 0 -12 + 24d + -18di + 18i = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + 4d + -3di + 3i) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + 4d + -3di + 3i)' equal to zero and attempt to solve: Simplifying -2 + 4d + -3di + 3i = 0 Solving -2 + 4d + -3di + 3i = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4d + -3di + 2 + 3i = 0 + 2 Reorder the terms: -2 + 2 + 4d + -3di + 3i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4d + -3di + 3i = 0 + 2 4d + -3di + 3i = 0 + 2 Combine like terms: 0 + 2 = 2 4d + -3di + 3i = 2 Add '-3i' to each side of the equation. 4d + -3di + 3i + -3i = 2 + -3i Combine like terms: 3i + -3i = 0 4d + -3di + 0 = 2 + -3i 4d + -3di = 2 + -3i 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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