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Simplifying (exp + z) * dy + -1(sin(z) + -1y) * dz = 0 Reorder the terms for easier multiplication: dy(epx + z) + -1(sin(z) + -1y) * dz = 0 (epx * dy + z * dy) + -1(sin(z) + -1y) * dz = 0 (depxy + dyz) + -1(sin(z) + -1y) * dz = 0 Multiply ins * z depxy + dyz + -1(insz + -1y) * dz = 0 Reorder the terms for easier multiplication: depxy + dyz + -1dz(insz + -1y) = 0 depxy + dyz + (insz * -1dz + -1y * -1dz) = 0 depxy + dyz + (-1dinsz2 + 1dyz) = 0 Reorder the terms: depxy + -1dinsz2 + dyz + 1dyz = 0 Combine like terms: dyz + 1dyz = 2dyz depxy + -1dinsz2 + 2dyz = 0 Solving depxy + -1dinsz2 + 2dyz = 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(epxy + -1insz2 + 2yz) = 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 '(epxy + -1insz2 + 2yz)' equal to zero and attempt to solve: Simplifying epxy + -1insz2 + 2yz = 0 Solving epxy + -1insz2 + 2yz = 0 Move all terms containing d to the left, all other terms to the right. Add '-1epxy' to each side of the equation. epxy + -1insz2 + -1epxy + 2yz = 0 + -1epxy Reorder the terms: epxy + -1epxy + -1insz2 + 2yz = 0 + -1epxy Combine like terms: epxy + -1epxy = 0 0 + -1insz2 + 2yz = 0 + -1epxy -1insz2 + 2yz = 0 + -1epxy Remove the zero: -1insz2 + 2yz = -1epxy Add 'insz2' to each side of the equation. -1insz2 + insz2 + 2yz = -1epxy + insz2 Combine like terms: -1insz2 + insz2 = 0 0 + 2yz = -1epxy + insz2 2yz = -1epxy + insz2 Add '-2yz' to each side of the equation. 2yz + -2yz = -1epxy + insz2 + -2yz Combine like terms: 2yz + -2yz = 0 0 = -1epxy + insz2 + -2yz Simplifying 0 = -1epxy + insz2 + -2yz 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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