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Simplifying -22x2 + -12x + -62 = 0 Reorder the terms: -62 + -12x + -22x2 = 0 Solving -62 + -12x + -22x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(31 + 6x + 11x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(31 + 6x + 11x2)' equal to zero and attempt to solve: Simplifying 31 + 6x + 11x2 = 0 Solving 31 + 6x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 2.818181818 + 0.5454545455x + x2 = 0 Move the constant term to the right: Add '-2.818181818' to each side of the equation. 2.818181818 + 0.5454545455x + -2.818181818 + x2 = 0 + -2.818181818 Reorder the terms: 2.818181818 + -2.818181818 + 0.5454545455x + x2 = 0 + -2.818181818 Combine like terms: 2.818181818 + -2.818181818 = 0.000000000 0.000000000 + 0.5454545455x + x2 = 0 + -2.818181818 0.5454545455x + x2 = 0 + -2.818181818 Combine like terms: 0 + -2.818181818 = -2.818181818 0.5454545455x + x2 = -2.818181818 The x term is 0.5454545455x. Take half its coefficient (0.2727272728). Square it (0.07438016533) and add it to both sides. Add '0.07438016533' to each side of the equation. 0.5454545455x + 0.07438016533 + x2 = -2.818181818 + 0.07438016533 Reorder the terms: 0.07438016533 + 0.5454545455x + x2 = -2.818181818 + 0.07438016533 Combine like terms: -2.818181818 + 0.07438016533 = -2.74380165267 0.07438016533 + 0.5454545455x + x2 = -2.74380165267 Factor a perfect square on the left side: (x + 0.2727272728)(x + 0.2727272728) = -2.74380165267 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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