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Simplifying 36x2 + -22x + 40 = 0 Reorder the terms: 40 + -22x + 36x2 = 0 Solving 40 + -22x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(20 + -11x + 18x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20 + -11x + 18x2)' equal to zero and attempt to solve: Simplifying 20 + -11x + 18x2 = 0 Solving 20 + -11x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.111111111 + -0.6111111111x + x2 = 0 Move the constant term to the right: Add '-1.111111111' to each side of the equation. 1.111111111 + -0.6111111111x + -1.111111111 + x2 = 0 + -1.111111111 Reorder the terms: 1.111111111 + -1.111111111 + -0.6111111111x + x2 = 0 + -1.111111111 Combine like terms: 1.111111111 + -1.111111111 = 0.000000000 0.000000000 + -0.6111111111x + x2 = 0 + -1.111111111 -0.6111111111x + x2 = 0 + -1.111111111 Combine like terms: 0 + -1.111111111 = -1.111111111 -0.6111111111x + x2 = -1.111111111 The x term is -0.6111111111x. Take half its coefficient (-0.3055555556). Square it (0.09336419756) and add it to both sides. Add '0.09336419756' to each side of the equation. -0.6111111111x + 0.09336419756 + x2 = -1.111111111 + 0.09336419756 Reorder the terms: 0.09336419756 + -0.6111111111x + x2 = -1.111111111 + 0.09336419756 Combine like terms: -1.111111111 + 0.09336419756 = -1.01774691344 0.09336419756 + -0.6111111111x + x2 = -1.01774691344 Factor a perfect square on the left side: (x + -0.3055555556)(x + -0.3055555556) = -1.01774691344 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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