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Simplifying 27x2 + -54x + 2805 = 0 Reorder the terms: 2805 + -54x + 27x2 = 0 Solving 2805 + -54x + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(935 + -18x + 9x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(935 + -18x + 9x2)' equal to zero and attempt to solve: Simplifying 935 + -18x + 9x2 = 0 Solving 935 + -18x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 103.8888889 + -2x + x2 = 0 Move the constant term to the right: Add '-103.8888889' to each side of the equation. 103.8888889 + -2x + -103.8888889 + x2 = 0 + -103.8888889 Reorder the terms: 103.8888889 + -103.8888889 + -2x + x2 = 0 + -103.8888889 Combine like terms: 103.8888889 + -103.8888889 = 0.0000000 0.0000000 + -2x + x2 = 0 + -103.8888889 -2x + x2 = 0 + -103.8888889 Combine like terms: 0 + -103.8888889 = -103.8888889 -2x + x2 = -103.8888889 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -103.8888889 + 1 Reorder the terms: 1 + -2x + x2 = -103.8888889 + 1 Combine like terms: -103.8888889 + 1 = -102.8888889 1 + -2x + x2 = -102.8888889 Factor a perfect square on the left side: (x + -1)(x + -1) = -102.8888889 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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