WE*EW+U*Y+Z=Z(D+X)+S(Z+X)+TY

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Solution for WE*EW+U*Y+Z=Z(D+X)+S(Z+X)+TY equation: 


Simplifying
WE * EW + U * Y + Z = Z(D + X) + S(Z + X) + TY

Multiply EW * EW
E2W2 + U * Y + Z = Z(D + X) + S(Z + X) + TY

Multiply U * Y
E2W2 + UY + Z = Z(D + X) + S(Z + X) + TY
E2W2 + UY + Z = (D * Z + X * Z) + S(Z + X) + TY
E2W2 + UY + Z = (DZ + XZ) + S(Z + X) + TY

Reorder the terms:
E2W2 + UY + Z = DZ + XZ + S(X + Z) + TY
E2W2 + UY + Z = DZ + XZ + (X * S + Z * S) + TY
E2W2 + UY + Z = DZ + XZ + (SX + SZ) + TY

Reorder the terms:
E2W2 + UY + Z = DZ + SX + SZ + TY + XZ

Solving
E2W2 + UY + Z = DZ + SX + SZ + TY + XZ

Solving for variable 'E'.

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

Add '-1UY' to each side of the equation.
E2W2 + UY + -1UY + Z = DZ + SX + SZ + TY + -1UY + XZ

Combine like terms: UY + -1UY = 0
E2W2 + 0 + Z = DZ + SX + SZ + TY + -1UY + XZ
E2W2 + Z = DZ + SX + SZ + TY + -1UY + XZ

Add '-1Z' to each side of the equation.
E2W2 + Z + -1Z = DZ + SX + SZ + TY + -1UY + XZ + -1Z

Combine like terms: Z + -1Z = 0
E2W2 + 0 = DZ + SX + SZ + TY + -1UY + XZ + -1Z
E2W2 = DZ + SX + SZ + TY + -1UY + XZ + -1Z

Divide each side by 'W2'.
E2 = DW-2Z + SW-2X + SW-2Z + TW-2Y + -1UW-2Y + W-2XZ + -1W-2Z

Simplifying
E2 = DW-2Z + SW-2X + SW-2Z + TW-2Y + -1UW-2Y + W-2XZ + -1W-2Z

Reorder the terms:
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = DW-2Z + SW-2X + SW-2Z + TW-2Y + -1UW-2Y + W-2XZ + -1W-2Z + -1DW-2Z + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z

Reorder the terms:
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = DW-2Z + -1DW-2Z + SW-2X + -1SW-2X + SW-2Z + -1SW-2Z + TW-2Y + -1TW-2Y + -1UW-2Y + UW-2Y + W-2XZ + -1W-2XZ + -1W-2Z + W-2Z

Combine like terms: DW-2Z + -1DW-2Z = 0
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = 0 + SW-2X + -1SW-2X + SW-2Z + -1SW-2Z + TW-2Y + -1TW-2Y + -1UW-2Y + UW-2Y + W-2XZ + -1W-2XZ + -1W-2Z + W-2Z
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = SW-2X + -1SW-2X + SW-2Z + -1SW-2Z + TW-2Y + -1TW-2Y + -1UW-2Y + UW-2Y + W-2XZ + -1W-2XZ + -1W-2Z + W-2Z

Combine like terms: SW-2X + -1SW-2X = 0
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = 0 + SW-2Z + -1SW-2Z + TW-2Y + -1TW-2Y + -1UW-2Y + UW-2Y + W-2XZ + -1W-2XZ + -1W-2Z + W-2Z
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = SW-2Z + -1SW-2Z + TW-2Y + -1TW-2Y + -1UW-2Y + UW-2Y + W-2XZ + -1W-2XZ + -1W-2Z + W-2Z

Combine like terms: SW-2Z + -1SW-2Z = 0
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = 0 + TW-2Y + -1TW-2Y + -1UW-2Y + UW-2Y + W-2XZ + -1W-2XZ + -1W-2Z + W-2Z
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = TW-2Y + -1TW-2Y + -1UW-2Y + UW-2Y + W-2XZ + -1W-2XZ + -1W-2Z + W-2Z

Combine like terms: TW-2Y + -1TW-2Y = 0
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = 0 + -1UW-2Y + UW-2Y + W-2XZ + -1W-2XZ + -1W-2Z + W-2Z
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = -1UW-2Y + UW-2Y + W-2XZ + -1W-2XZ + -1W-2Z + W-2Z

Combine like terms: -1UW-2Y + UW-2Y = 0
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = 0 + W-2XZ + -1W-2XZ + -1W-2Z + W-2Z
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = W-2XZ + -1W-2XZ + -1W-2Z + W-2Z

Combine like terms: W-2XZ + -1W-2XZ = 0
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = 0 + -1W-2Z + W-2Z
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = -1W-2Z + W-2Z

Combine like terms: -1W-2Z + W-2Z = 0
-1DW-2Z + E2 + -1SW-2X + -1SW-2Z + -1TW-2Y + UW-2Y + -1W-2XZ + W-2Z = 0

The solution to this equation could not be determined.

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