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Simplifying 2(11x2 + 4x + 420) = 0 Reorder the terms: 2(420 + 4x + 11x2) = 0 (420 * 2 + 4x * 2 + 11x2 * 2) = 0 (840 + 8x + 22x2) = 0 Solving 840 + 8x + 22x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(420 + 4x + 11x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(420 + 4x + 11x2)' equal to zero and attempt to solve: Simplifying 420 + 4x + 11x2 = 0 Solving 420 + 4x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 38.18181818 + 0.3636363636x + x2 = 0 Move the constant term to the right: Add '-38.18181818' to each side of the equation. 38.18181818 + 0.3636363636x + -38.18181818 + x2 = 0 + -38.18181818 Reorder the terms: 38.18181818 + -38.18181818 + 0.3636363636x + x2 = 0 + -38.18181818 Combine like terms: 38.18181818 + -38.18181818 = 0.00000000 0.00000000 + 0.3636363636x + x2 = 0 + -38.18181818 0.3636363636x + x2 = 0 + -38.18181818 Combine like terms: 0 + -38.18181818 = -38.18181818 0.3636363636x + x2 = -38.18181818 The x term is 0.3636363636x. Take half its coefficient (0.1818181818). Square it (0.03305785123) and add it to both sides. Add '0.03305785123' to each side of the equation. 0.3636363636x + 0.03305785123 + x2 = -38.18181818 + 0.03305785123 Reorder the terms: 0.03305785123 + 0.3636363636x + x2 = -38.18181818 + 0.03305785123 Combine like terms: -38.18181818 + 0.03305785123 = -38.14876032877 0.03305785123 + 0.3636363636x + x2 = -38.14876032877 Factor a perfect square on the left side: (x + 0.1818181818)(x + 0.1818181818) = -38.14876032877 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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