solve(D^2+3*D*D^1+4*D^2)*z=x+siny

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Solution for solve(D^2+3*D*D^1+4*D^2)*z=x+siny equation:


Simplifying
solve(D2 + 3D * D + 4D2) * z = x + siny

Multiply D * D
elosv(D2 + 3D2 + 4D2) * z = x + siny

Combine like terms: D2 + 3D2 = 4D2
elosv(4D2 + 4D2) * z = x + siny

Combine like terms: 4D2 + 4D2 = 8D2
elosv(8D2) * z = x + siny

Remove parenthesis around (8D2)
elosv * 8D2 * z = x + siny

Reorder the terms for easier multiplication:
8elosv * D2 * z = x + siny

Multiply elosv * D2
8elosvD2 * z = x + siny

Multiply elosvD2 * z
8elosvzD2 = x + siny

Reorder the terms:
8elosvzD2 = insy + x

Solving
8elosvzD2 = insy + x

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by '8losvzD2'.
e = 0.125il-1no-1v-1yz-1D-2 + 0.125l-1o-1s-1v-1xz-1D-2

Simplifying
e = 0.125il-1no-1v-1yz-1D-2 + 0.125l-1o-1s-1v-1xz-1D-2

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