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Simplifying 324x2 + -528x + 720 = 0 Reorder the terms: 720 + -528x + 324x2 = 0 Solving 720 + -528x + 324x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(60 + -44x + 27x2) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(60 + -44x + 27x2)' equal to zero and attempt to solve: Simplifying 60 + -44x + 27x2 = 0 Solving 60 + -44x + 27x2 = 0 Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 2.222222222 + -1.62962963x + x2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + -1.62962963x + -2.222222222 + x2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + -1.62962963x + x2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + -1.62962963x + x2 = 0 + -2.222222222 -1.62962963x + x2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 -1.62962963x + x2 = -2.222222222 The x term is -1.62962963x. Take half its coefficient (-0.814814815). Square it (0.6639231827) and add it to both sides. Add '0.6639231827' to each side of the equation. -1.62962963x + 0.6639231827 + x2 = -2.222222222 + 0.6639231827 Reorder the terms: 0.6639231827 + -1.62962963x + x2 = -2.222222222 + 0.6639231827 Combine like terms: -2.222222222 + 0.6639231827 = -1.5582990393 0.6639231827 + -1.62962963x + x2 = -1.5582990393 Factor a perfect square on the left side: (x + -0.814814815)(x + -0.814814815) = -1.5582990393 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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