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Simplifying 81x2 + -51x + 12 = 0 Reorder the terms: 12 + -51x + 81x2 = 0 Solving 12 + -51x + 81x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(4 + -17x + 27x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -17x + 27x2)' equal to zero and attempt to solve: Simplifying 4 + -17x + 27x2 = 0 Solving 4 + -17x + 27x2 = 0 Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 0.1481481481 + -0.6296296296x + x2 = 0 Move the constant term to the right: Add '-0.1481481481' to each side of the equation. 0.1481481481 + -0.6296296296x + -0.1481481481 + x2 = 0 + -0.1481481481 Reorder the terms: 0.1481481481 + -0.1481481481 + -0.6296296296x + x2 = 0 + -0.1481481481 Combine like terms: 0.1481481481 + -0.1481481481 = 0.0000000000 0.0000000000 + -0.6296296296x + x2 = 0 + -0.1481481481 -0.6296296296x + x2 = 0 + -0.1481481481 Combine like terms: 0 + -0.1481481481 = -0.1481481481 -0.6296296296x + x2 = -0.1481481481 The x term is -0.6296296296x. Take half its coefficient (-0.3148148148). Square it (0.09910836762) and add it to both sides. Add '0.09910836762' to each side of the equation. -0.6296296296x + 0.09910836762 + x2 = -0.1481481481 + 0.09910836762 Reorder the terms: 0.09910836762 + -0.6296296296x + x2 = -0.1481481481 + 0.09910836762 Combine like terms: -0.1481481481 + 0.09910836762 = -0.04903978048 0.09910836762 + -0.6296296296x + x2 = -0.04903978048 Factor a perfect square on the left side: (x + -0.3148148148)(x + -0.3148148148) = -0.04903978048 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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