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Simplifying 23x2 + 1 = 3x Reorder the terms: 1 + 23x2 = 3x Solving 1 + 23x2 = 3x Solving for variable 'x'. Reorder the terms: 1 + -3x + 23x2 = 3x + -3x Combine like terms: 3x + -3x = 0 1 + -3x + 23x2 = 0 Begin completing the square. Divide all terms by 23 the coefficient of the squared term: Divide each side by '23'. 0.04347826087 + -0.1304347826x + x2 = 0 Move the constant term to the right: Add '-0.04347826087' to each side of the equation. 0.04347826087 + -0.1304347826x + -0.04347826087 + x2 = 0 + -0.04347826087 Reorder the terms: 0.04347826087 + -0.04347826087 + -0.1304347826x + x2 = 0 + -0.04347826087 Combine like terms: 0.04347826087 + -0.04347826087 = 0.00000000000 0.00000000000 + -0.1304347826x + x2 = 0 + -0.04347826087 -0.1304347826x + x2 = 0 + -0.04347826087 Combine like terms: 0 + -0.04347826087 = -0.04347826087 -0.1304347826x + x2 = -0.04347826087 The x term is -0.1304347826x. Take half its coefficient (-0.0652173913). Square it (0.004253308128) and add it to both sides. Add '0.004253308128' to each side of the equation. -0.1304347826x + 0.004253308128 + x2 = -0.04347826087 + 0.004253308128 Reorder the terms: 0.004253308128 + -0.1304347826x + x2 = -0.04347826087 + 0.004253308128 Combine like terms: -0.04347826087 + 0.004253308128 = -0.039224952742 0.004253308128 + -0.1304347826x + x2 = -0.039224952742 Factor a perfect square on the left side: (x + -0.0652173913)(x + -0.0652173913) = -0.039224952742 Can't calculate square root of the right side. The solution to this equation could not be determined.
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