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Simplifying 47.1 = 0.0289 + -4x2 + -0.34x Reorder the terms: 47.1 = 0.0289 + -0.34x + -4x2 Solving 47.1 = 0.0289 + -0.34x + -4x2 Solving for variable 'x'. Combine like terms: 47.1 + -0.0289 = 47.0711 47.0711 + 0.34x + 4x2 = 0.0289 + -0.34x + -4x2 + -0.0289 + 0.34x + 4x2 Reorder the terms: 47.0711 + 0.34x + 4x2 = 0.0289 + -0.0289 + -0.34x + 0.34x + -4x2 + 4x2 Combine like terms: 0.0289 + -0.0289 = 0.0000 47.0711 + 0.34x + 4x2 = 0.0000 + -0.34x + 0.34x + -4x2 + 4x2 47.0711 + 0.34x + 4x2 = -0.34x + 0.34x + -4x2 + 4x2 Combine like terms: -0.34x + 0.34x = 0.00 47.0711 + 0.34x + 4x2 = 0.00 + -4x2 + 4x2 47.0711 + 0.34x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 47.0711 + 0.34x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 11.767775 + 0.085x + x2 = 0 Move the constant term to the right: Add '-11.767775' to each side of the equation. 11.767775 + 0.085x + -11.767775 + x2 = 0 + -11.767775 Reorder the terms: 11.767775 + -11.767775 + 0.085x + x2 = 0 + -11.767775 Combine like terms: 11.767775 + -11.767775 = 0.000000 0.000000 + 0.085x + x2 = 0 + -11.767775 0.085x + x2 = 0 + -11.767775 Combine like terms: 0 + -11.767775 = -11.767775 0.085x + x2 = -11.767775 The x term is 0.085x. Take half its coefficient (0.0425). Square it (0.00180625) and add it to both sides. Add '0.00180625' to each side of the equation. 0.085x + 0.00180625 + x2 = -11.767775 + 0.00180625 Reorder the terms: 0.00180625 + 0.085x + x2 = -11.767775 + 0.00180625 Combine like terms: -11.767775 + 0.00180625 = -11.76596875 0.00180625 + 0.085x + x2 = -11.76596875 Factor a perfect square on the left side: (x + 0.0425)(x + 0.0425) = -11.76596875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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