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Simplifying 23x2 + 16x + 16 = 0 Reorder the terms: 16 + 16x + 23x2 = 0 Solving 16 + 16x + 23x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 23 the coefficient of the squared term: Divide each side by '23'. 0.6956521739 + 0.6956521739x + x2 = 0 Move the constant term to the right: Add '-0.6956521739' to each side of the equation. 0.6956521739 + 0.6956521739x + -0.6956521739 + x2 = 0 + -0.6956521739 Reorder the terms: 0.6956521739 + -0.6956521739 + 0.6956521739x + x2 = 0 + -0.6956521739 Combine like terms: 0.6956521739 + -0.6956521739 = 0.0000000000 0.0000000000 + 0.6956521739x + x2 = 0 + -0.6956521739 0.6956521739x + x2 = 0 + -0.6956521739 Combine like terms: 0 + -0.6956521739 = -0.6956521739 0.6956521739x + x2 = -0.6956521739 The x term is 0.6956521739x. Take half its coefficient (0.347826087). Square it (0.1209829868) and add it to both sides. Add '0.1209829868' to each side of the equation. 0.6956521739x + 0.1209829868 + x2 = -0.6956521739 + 0.1209829868 Reorder the terms: 0.1209829868 + 0.6956521739x + x2 = -0.6956521739 + 0.1209829868 Combine like terms: -0.6956521739 + 0.1209829868 = -0.5746691871 0.1209829868 + 0.6956521739x + x2 = -0.5746691871 Factor a perfect square on the left side: (x + 0.347826087)(x + 0.347826087) = -0.5746691871 Can't calculate square root of the right side. The solution to this equation could not be determined.
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