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Simplifying 36x2 + -4x + 54 = 0 Reorder the terms: 54 + -4x + 36x2 = 0 Solving 54 + -4x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(27 + -2x + 18x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(27 + -2x + 18x2)' equal to zero and attempt to solve: Simplifying 27 + -2x + 18x2 = 0 Solving 27 + -2x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.5 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.1111111111x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.1111111111x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.1111111111x + x2 = 0 + -1.5 -0.1111111111x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.1111111111x + x2 = -1.5 The x term is -0.1111111111x. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111x + 0.003086419752 + x2 = -1.5 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x + x2 = -1.5 + 0.003086419752 Combine like terms: -1.5 + 0.003086419752 = -1.496913580248 0.003086419752 + -0.1111111111x + x2 = -1.496913580248 Factor a perfect square on the left side: (x + -0.05555555555)(x + -0.05555555555) = -1.496913580248 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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