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Simplifying -11x2 + -2x + -27 = 0 Reorder the terms: -27 + -2x + -11x2 = 0 Solving -27 + -2x + -11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(27 + 2x + 11x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(27 + 2x + 11x2)' equal to zero and attempt to solve: Simplifying 27 + 2x + 11x2 = 0 Solving 27 + 2x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 2.454545455 + 0.1818181818x + x2 = 0 Move the constant term to the right: Add '-2.454545455' to each side of the equation. 2.454545455 + 0.1818181818x + -2.454545455 + x2 = 0 + -2.454545455 Reorder the terms: 2.454545455 + -2.454545455 + 0.1818181818x + x2 = 0 + -2.454545455 Combine like terms: 2.454545455 + -2.454545455 = 0.000000000 0.000000000 + 0.1818181818x + x2 = 0 + -2.454545455 0.1818181818x + x2 = 0 + -2.454545455 Combine like terms: 0 + -2.454545455 = -2.454545455 0.1818181818x + x2 = -2.454545455 The x term is 0.1818181818x. Take half its coefficient (0.0909090909). Square it (0.008264462808) and add it to both sides. Add '0.008264462808' to each side of the equation. 0.1818181818x + 0.008264462808 + x2 = -2.454545455 + 0.008264462808 Reorder the terms: 0.008264462808 + 0.1818181818x + x2 = -2.454545455 + 0.008264462808 Combine like terms: -2.454545455 + 0.008264462808 = -2.446280992192 0.008264462808 + 0.1818181818x + x2 = -2.446280992192 Factor a perfect square on the left side: (x + 0.0909090909)(x + 0.0909090909) = -2.446280992192 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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