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Simplifying 18x2 + -3x + 6 = 0 Reorder the terms: 6 + -3x + 18x2 = 0 Solving 6 + -3x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(2 + -1x + 6x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -1x + 6x2)' equal to zero and attempt to solve: Simplifying 2 + -1x + 6x2 = 0 Solving 2 + -1x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.3333333333 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.1666666667x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.1666666667x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.1666666667x + x2 = 0 + -0.3333333333 -0.1666666667x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.1666666667x + x2 = -0.3333333333 The x term is -0.1666666667x. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667x + 0.006944444447 + x2 = -0.3333333333 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667x + x2 = -0.3333333333 + 0.006944444447 Combine like terms: -0.3333333333 + 0.006944444447 = -0.326388888853 0.006944444447 + -0.1666666667x + x2 = -0.326388888853 Factor a perfect square on the left side: (x + -0.08333333335)(x + -0.08333333335) = -0.326388888853 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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