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Simplifying 22x2 + 22x + 36 = 0 Reorder the terms: 36 + 22x + 22x2 = 0 Solving 36 + 22x + 22x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 11x + 11x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + 11x + 11x2)' equal to zero and attempt to solve: Simplifying 18 + 11x + 11x2 = 0 Solving 18 + 11x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1.636363636 + x + x2 = 0 Move the constant term to the right: Add '-1.636363636' to each side of the equation. 1.636363636 + x + -1.636363636 + x2 = 0 + -1.636363636 Reorder the terms: 1.636363636 + -1.636363636 + x + x2 = 0 + -1.636363636 Combine like terms: 1.636363636 + -1.636363636 = 0.000000000 0.000000000 + x + x2 = 0 + -1.636363636 x + x2 = 0 + -1.636363636 Combine like terms: 0 + -1.636363636 = -1.636363636 x + x2 = -1.636363636 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -1.636363636 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -1.636363636 + 0.25 Combine like terms: -1.636363636 + 0.25 = -1.386363636 1.25 + x2 = -1.386363636 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.386363636 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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