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Simplifying (2x + tany) * dx + (sec2y) * dy = 0 Reorder the terms: (anty + 2x) * dx + (sec2y) * dy = 0 Reorder the terms for easier multiplication: dx(anty + 2x) + (sec2y) * dy = 0 (anty * dx + 2x * dx) + (sec2y) * dy = 0 (adntxy + 2dx2) + (sec2y) * dy = 0 Multiply c2esy * dy adntxy + 2dx2 + c2desy2 = 0 Reorder the terms: adntxy + c2desy2 + 2dx2 = 0 Solving adntxy + c2desy2 + 2dx2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1c2desy2' to each side of the equation. adntxy + c2desy2 + -1c2desy2 + 2dx2 = 0 + -1c2desy2 Combine like terms: c2desy2 + -1c2desy2 = 0 adntxy + 0 + 2dx2 = 0 + -1c2desy2 adntxy + 2dx2 = 0 + -1c2desy2 Remove the zero: adntxy + 2dx2 = -1c2desy2 Add '-2dx2' to each side of the equation. adntxy + 2dx2 + -2dx2 = -1c2desy2 + -2dx2 Combine like terms: 2dx2 + -2dx2 = 0 adntxy + 0 = -1c2desy2 + -2dx2 adntxy = -1c2desy2 + -2dx2 Divide each side by 'dntxy'. a = -1c2en-1st-1x-1y + -2n-1t-1xy-1 Simplifying a = -1c2en-1st-1x-1y + -2n-1t-1xy-1
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