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Simplifying 0 = 9x2 + 89x + 239 Reorder the terms: 0 = 239 + 89x + 9x2 Solving 0 = 239 + 89x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -239 = -239 -239 + -89x + -9x2 = 239 + 89x + 9x2 + -239 + -89x + -9x2 Reorder the terms: -239 + -89x + -9x2 = 239 + -239 + 89x + -89x + 9x2 + -9x2 Combine like terms: 239 + -239 = 0 -239 + -89x + -9x2 = 0 + 89x + -89x + 9x2 + -9x2 -239 + -89x + -9x2 = 89x + -89x + 9x2 + -9x2 Combine like terms: 89x + -89x = 0 -239 + -89x + -9x2 = 0 + 9x2 + -9x2 -239 + -89x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -239 + -89x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(239 + 89x + 9x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(239 + 89x + 9x2)' equal to zero and attempt to solve: Simplifying 239 + 89x + 9x2 = 0 Solving 239 + 89x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 26.55555556 + 9.888888889x + x2 = 0 Move the constant term to the right: Add '-26.55555556' to each side of the equation. 26.55555556 + 9.888888889x + -26.55555556 + x2 = 0 + -26.55555556 Reorder the terms: 26.55555556 + -26.55555556 + 9.888888889x + x2 = 0 + -26.55555556 Combine like terms: 26.55555556 + -26.55555556 = 0.00000000 0.00000000 + 9.888888889x + x2 = 0 + -26.55555556 9.888888889x + x2 = 0 + -26.55555556 Combine like terms: 0 + -26.55555556 = -26.55555556 9.888888889x + x2 = -26.55555556 The x term is 9.888888889x. Take half its coefficient (4.944444445). Square it (24.44753087) and add it to both sides. Add '24.44753087' to each side of the equation. 9.888888889x + 24.44753087 + x2 = -26.55555556 + 24.44753087 Reorder the terms: 24.44753087 + 9.888888889x + x2 = -26.55555556 + 24.44753087 Combine like terms: -26.55555556 + 24.44753087 = -2.10802469 24.44753087 + 9.888888889x + x2 = -2.10802469 Factor a perfect square on the left side: (x + 4.944444445)(x + 4.944444445) = -2.10802469 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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