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Simplifying 11x2 + 11x2 + 6x + 2 + 6x + 2 = 0 Reorder the terms: 2 + 2 + 6x + 6x + 11x2 + 11x2 = 0 Combine like terms: 2 + 2 = 4 4 + 6x + 6x + 11x2 + 11x2 = 0 Combine like terms: 6x + 6x = 12x 4 + 12x + 11x2 + 11x2 = 0 Combine like terms: 11x2 + 11x2 = 22x2 4 + 12x + 22x2 = 0 Solving 4 + 12x + 22x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 6x + 11x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 6x + 11x2)' equal to zero and attempt to solve: Simplifying 2 + 6x + 11x2 = 0 Solving 2 + 6x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.1818181818 + 0.5454545455x + x2 = 0 Move the constant term to the right: Add '-0.1818181818' to each side of the equation. 0.1818181818 + 0.5454545455x + -0.1818181818 + x2 = 0 + -0.1818181818 Reorder the terms: 0.1818181818 + -0.1818181818 + 0.5454545455x + x2 = 0 + -0.1818181818 Combine like terms: 0.1818181818 + -0.1818181818 = 0.0000000000 0.0000000000 + 0.5454545455x + x2 = 0 + -0.1818181818 0.5454545455x + x2 = 0 + -0.1818181818 Combine like terms: 0 + -0.1818181818 = -0.1818181818 0.5454545455x + x2 = -0.1818181818 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 = -0.1818181818 + 0.07438016533 Reorder the terms: 0.07438016533 + 0.5454545455x + x2 = -0.1818181818 + 0.07438016533 Combine like terms: -0.1818181818 + 0.07438016533 = -0.10743801647 0.07438016533 + 0.5454545455x + x2 = -0.10743801647 Factor a perfect square on the left side: (x + 0.2727272728)(x + 0.2727272728) = -0.10743801647 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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