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Simplifying 3594x2 + 5160x + 5846 = 0 Reorder the terms: 5846 + 5160x + 3594x2 = 0 Solving 5846 + 5160x + 3594x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2923 + 2580x + 1797x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2923 + 2580x + 1797x2)' equal to zero and attempt to solve: Simplifying 2923 + 2580x + 1797x2 = 0 Solving 2923 + 2580x + 1797x2 = 0 Begin completing the square. Divide all terms by 1797 the coefficient of the squared term: Divide each side by '1797'. 1.626599889 + 1.43572621x + x2 = 0 Move the constant term to the right: Add '-1.626599889' to each side of the equation. 1.626599889 + 1.43572621x + -1.626599889 + x2 = 0 + -1.626599889 Reorder the terms: 1.626599889 + -1.626599889 + 1.43572621x + x2 = 0 + -1.626599889 Combine like terms: 1.626599889 + -1.626599889 = 0.000000000 0.000000000 + 1.43572621x + x2 = 0 + -1.626599889 1.43572621x + x2 = 0 + -1.626599889 Combine like terms: 0 + -1.626599889 = -1.626599889 1.43572621x + x2 = -1.626599889 The x term is 1.43572621x. Take half its coefficient (0.717863105). Square it (0.5153274375) and add it to both sides. Add '0.5153274375' to each side of the equation. 1.43572621x + 0.5153274375 + x2 = -1.626599889 + 0.5153274375 Reorder the terms: 0.5153274375 + 1.43572621x + x2 = -1.626599889 + 0.5153274375 Combine like terms: -1.626599889 + 0.5153274375 = -1.1112724515 0.5153274375 + 1.43572621x + x2 = -1.1112724515 Factor a perfect square on the left side: (x + 0.717863105)(x + 0.717863105) = -1.1112724515 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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