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Simplifying 360x2 + -340x + 2750 = 0 Reorder the terms: 2750 + -340x + 360x2 = 0 Solving 2750 + -340x + 360x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(275 + -34x + 36x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(275 + -34x + 36x2)' equal to zero and attempt to solve: Simplifying 275 + -34x + 36x2 = 0 Solving 275 + -34x + 36x2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 7.638888889 + -0.9444444444x + x2 = 0 Move the constant term to the right: Add '-7.638888889' to each side of the equation. 7.638888889 + -0.9444444444x + -7.638888889 + x2 = 0 + -7.638888889 Reorder the terms: 7.638888889 + -7.638888889 + -0.9444444444x + x2 = 0 + -7.638888889 Combine like terms: 7.638888889 + -7.638888889 = 0.000000000 0.000000000 + -0.9444444444x + x2 = 0 + -7.638888889 -0.9444444444x + x2 = 0 + -7.638888889 Combine like terms: 0 + -7.638888889 = -7.638888889 -0.9444444444x + x2 = -7.638888889 The x term is -0.9444444444x. Take half its coefficient (-0.4722222222). Square it (0.2229938271) and add it to both sides. Add '0.2229938271' to each side of the equation. -0.9444444444x + 0.2229938271 + x2 = -7.638888889 + 0.2229938271 Reorder the terms: 0.2229938271 + -0.9444444444x + x2 = -7.638888889 + 0.2229938271 Combine like terms: -7.638888889 + 0.2229938271 = -7.4158950619 0.2229938271 + -0.9444444444x + x2 = -7.4158950619 Factor a perfect square on the left side: (x + -0.4722222222)(x + -0.4722222222) = -7.4158950619 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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