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Simplifying 9x2 + -6x + 81 = 0 Reorder the terms: 81 + -6x + 9x2 = 0 Solving 81 + -6x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(27 + -2x + 3x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(27 + -2x + 3x2)' equal to zero and attempt to solve: Simplifying 27 + -2x + 3x2 = 0 Solving 27 + -2x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 9 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -0.6666666667x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -0.6666666667x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -0.6666666667x + x2 = 0 + -9 -0.6666666667x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -0.6666666667x + x2 = -9 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -9 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -9 + 0.1111111112 Combine like terms: -9 + 0.1111111112 = -8.8888888888 0.1111111112 + -0.6666666667x + x2 = -8.8888888888 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -8.8888888888 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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