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Simplifying 36x2 + -2x + 2 = 0 Reorder the terms: 2 + -2x + 36x2 = 0 Solving 2 + -2x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -1x + 18x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1x + 18x2)' equal to zero and attempt to solve: Simplifying 1 + -1x + 18x2 = 0 Solving 1 + -1x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.05555555556 + -0.05555555556x + x2 = 0 Move the constant term to the right: Add '-0.05555555556' to each side of the equation. 0.05555555556 + -0.05555555556x + -0.05555555556 + x2 = 0 + -0.05555555556 Reorder the terms: 0.05555555556 + -0.05555555556 + -0.05555555556x + x2 = 0 + -0.05555555556 Combine like terms: 0.05555555556 + -0.05555555556 = 0.00000000000 0.00000000000 + -0.05555555556x + x2 = 0 + -0.05555555556 -0.05555555556x + x2 = 0 + -0.05555555556 Combine like terms: 0 + -0.05555555556 = -0.05555555556 -0.05555555556x + x2 = -0.05555555556 The x term is -0.05555555556x. Take half its coefficient (-0.02777777778). Square it (0.0007716049384) and add it to both sides. Add '0.0007716049384' to each side of the equation. -0.05555555556x + 0.0007716049384 + x2 = -0.05555555556 + 0.0007716049384 Reorder the terms: 0.0007716049384 + -0.05555555556x + x2 = -0.05555555556 + 0.0007716049384 Combine like terms: -0.05555555556 + 0.0007716049384 = -0.0547839506216 0.0007716049384 + -0.05555555556x + x2 = -0.0547839506216 Factor a perfect square on the left side: (x + -0.02777777778)(x + -0.02777777778) = -0.0547839506216 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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