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Simplifying (w3 + wz2 + -1z) * dw + (z3 + w2z + -1w) * dz = 0 Reorder the terms: (wz2 + w3 + -1z) * dw + (z3 + w2z + -1w) * dz = 0 Reorder the terms for easier multiplication: dw(wz2 + w3 + -1z) + (z3 + w2z + -1w) * dz = 0 (wz2 * dw + w3 * dw + -1z * dw) + (z3 + w2z + -1w) * dz = 0 Reorder the terms: (-1dwz + dw2z2 + dw4) + (z3 + w2z + -1w) * dz = 0 (-1dwz + dw2z2 + dw4) + (z3 + w2z + -1w) * dz = 0 Reorder the terms: -1dwz + dw2z2 + dw4 + (-1w + w2z + z3) * dz = 0 Reorder the terms for easier multiplication: -1dwz + dw2z2 + dw4 + dz(-1w + w2z + z3) = 0 -1dwz + dw2z2 + dw4 + (-1w * dz + w2z * dz + z3 * dz) = 0 -1dwz + dw2z2 + dw4 + (-1dwz + dw2z2 + dz4) = 0 Reorder the terms: -1dwz + -1dwz + dw2z2 + dw2z2 + dw4 + dz4 = 0 Combine like terms: -1dwz + -1dwz = -2dwz -2dwz + dw2z2 + dw2z2 + dw4 + dz4 = 0 Combine like terms: dw2z2 + dw2z2 = 2dw2z2 -2dwz + 2dw2z2 + dw4 + dz4 = 0 Solving -2dwz + 2dw2z2 + dw4 + dz4 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'd'. d(-2wz + 2w2z2 + w4 + z4) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(-2wz + 2w2z2 + w4 + z4)' equal to zero and attempt to solve: Simplifying -2wz + 2w2z2 + w4 + z4 = 0 Solving -2wz + 2w2z2 + w4 + z4 = 0 Move all terms containing d to the left, all other terms to the right. Add '2wz' to each side of the equation. -2wz + 2w2z2 + w4 + 2wz + z4 = 0 + 2wz Reorder the terms: -2wz + 2wz + 2w2z2 + w4 + z4 = 0 + 2wz Combine like terms: -2wz + 2wz = 0 0 + 2w2z2 + w4 + z4 = 0 + 2wz 2w2z2 + w4 + z4 = 0 + 2wz Remove the zero: 2w2z2 + w4 + z4 = 2wz Add '-2w2z2' to each side of the equation. 2w2z2 + w4 + -2w2z2 + z4 = 2wz + -2w2z2 Reorder the terms: 2w2z2 + -2w2z2 + w4 + z4 = 2wz + -2w2z2 Combine like terms: 2w2z2 + -2w2z2 = 0 0 + w4 + z4 = 2wz + -2w2z2 w4 + z4 = 2wz + -2w2z2 Add '-1w4' to each side of the equation. w4 + -1w4 + z4 = 2wz + -2w2z2 + -1w4 Combine like terms: w4 + -1w4 = 0 0 + z4 = 2wz + -2w2z2 + -1w4 z4 = 2wz + -2w2z2 + -1w4 Add '-1z4' to each side of the equation. z4 + -1z4 = 2wz + -2w2z2 + -1w4 + -1z4 Combine like terms: z4 + -1z4 = 0 0 = 2wz + -2w2z2 + -1w4 + -1z4 Simplifying 0 = 2wz + -2w2z2 + -1w4 + -1z4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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