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Simplifying V * O + Z * S = Z * Z(Z * Z + S * S + Z * Z) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) Multiply V * O OV + Z * S = Z * Z(Z * Z + S * S + Z * Z) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) Multiply Z * S OV + SZ = Z * Z(Z * Z + S * S + Z * Z) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) Multiply Z * Z OV + SZ = Z * Z(Z2 + S * S + Z * Z) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) Multiply S * S OV + SZ = Z * Z(Z2 + S2 + Z * Z) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) Multiply Z * Z OV + SZ = Z * Z(Z2 + S2 + Z2) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) Reorder the terms: OV + SZ = Z * Z(S2 + Z2 + Z2) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) Combine like terms: Z2 + Z2 = 2Z2 OV + SZ = Z * Z(S2 + 2Z2) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) Multiply Z * Z OV + SZ = Z2(S2 + 2Z2) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) OV + SZ = (S2 * Z2 + 2Z2 * Z2) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) OV + SZ = (S2Z2 + 2Z4) + Z * Z(Z * Z + Z * Z) + S(S * S + Z * Z) Multiply Z * Z OV + SZ = S2Z2 + 2Z4 + Z * Z(Z2 + Z * Z) + S(S * S + Z * Z) Multiply Z * Z OV + SZ = S2Z2 + 2Z4 + Z * Z(Z2 + Z2) + S(S * S + Z * Z) Combine like terms: Z2 + Z2 = 2Z2 OV + SZ = S2Z2 + 2Z4 + Z * Z(2Z2) + S(S * S + Z * Z) Remove parenthesis around (2Z2) OV + SZ = S2Z2 + 2Z4 + Z * Z * 2Z2 + S(S * S + Z * Z) Reorder the terms for easier multiplication: OV + SZ = S2Z2 + 2Z4 + 2Z * Z * Z2 + S(S * S + Z * Z) Multiply Z * Z OV + SZ = S2Z2 + 2Z4 + 2Z2 * Z2 + S(S * S + Z * Z) Multiply Z2 * Z2 OV + SZ = S2Z2 + 2Z4 + 2Z4 + S(S * S + Z * Z) Multiply S * S OV + SZ = S2Z2 + 2Z4 + 2Z4 + S(S2 + Z * Z) Multiply Z * Z OV + SZ = S2Z2 + 2Z4 + 2Z4 + S(S2 + Z2) OV + SZ = S2Z2 + 2Z4 + 2Z4 + (S2 * S + Z2 * S) Reorder the terms: OV + SZ = S2Z2 + 2Z4 + 2Z4 + (SZ2 + S3) OV + SZ = S2Z2 + 2Z4 + 2Z4 + (SZ2 + S3) Reorder the terms: OV + SZ = SZ2 + S2Z2 + S3 + 2Z4 + 2Z4 Combine like terms: 2Z4 + 2Z4 = 4Z4 OV + SZ = SZ2 + S2Z2 + S3 + 4Z4 Solving OV + SZ = SZ2 + S2Z2 + S3 + 4Z4 Solving for variable 'O'. Move all terms containing O to the left, all other terms to the right. Add '-1SZ' to each side of the equation. OV + SZ + -1SZ = SZ2 + S2Z2 + S3 + -1SZ + 4Z4 Combine like terms: SZ + -1SZ = 0 OV + 0 = SZ2 + S2Z2 + S3 + -1SZ + 4Z4 OV = SZ2 + S2Z2 + S3 + -1SZ + 4Z4 Reorder the terms: OV = -1SZ + SZ2 + S2Z2 + S3 + 4Z4 Divide each side by 'V'. O = -1SV-1Z + SV-1Z2 + S2V-1Z2 + S3V-1 + 4V-1Z4 Simplifying O = -1SV-1Z + SV-1Z2 + S2V-1Z2 + S3V-1 + 4V-1Z4
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