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Simplifying 36x2 + 16 = 4x Reorder the terms: 16 + 36x2 = 4x Solving 16 + 36x2 = 4x Solving for variable 'x'. Reorder the terms: 16 + -4x + 36x2 = 4x + -4x Combine like terms: 4x + -4x = 0 16 + -4x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -1x + 9x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -1x + 9x2)' equal to zero and attempt to solve: Simplifying 4 + -1x + 9x2 = 0 Solving 4 + -1x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.1111111111x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.1111111111x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.1111111111x + x2 = 0 + -0.4444444444 -0.1111111111x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.1111111111x + x2 = -0.4444444444 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 = -0.4444444444 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x + x2 = -0.4444444444 + 0.003086419752 Combine like terms: -0.4444444444 + 0.003086419752 = -0.441358024648 0.003086419752 + -0.1111111111x + x2 = -0.441358024648 Factor a perfect square on the left side: (x + -0.05555555555)(x + -0.05555555555) = -0.441358024648 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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