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Simplifying 27x2 + -96x + 96 = 0 Reorder the terms: 96 + -96x + 27x2 = 0 Solving 96 + -96x + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(32 + -32x + 9x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(32 + -32x + 9x2)' equal to zero and attempt to solve: Simplifying 32 + -32x + 9x2 = 0 Solving 32 + -32x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 3.555555556 + -3.555555556x + x2 = 0 Move the constant term to the right: Add '-3.555555556' to each side of the equation. 3.555555556 + -3.555555556x + -3.555555556 + x2 = 0 + -3.555555556 Reorder the terms: 3.555555556 + -3.555555556 + -3.555555556x + x2 = 0 + -3.555555556 Combine like terms: 3.555555556 + -3.555555556 = 0.000000000 0.000000000 + -3.555555556x + x2 = 0 + -3.555555556 -3.555555556x + x2 = 0 + -3.555555556 Combine like terms: 0 + -3.555555556 = -3.555555556 -3.555555556x + x2 = -3.555555556 The x term is -3.555555556x. Take half its coefficient (-1.777777778). Square it (3.160493828) and add it to both sides. Add '3.160493828' to each side of the equation. -3.555555556x + 3.160493828 + x2 = -3.555555556 + 3.160493828 Reorder the terms: 3.160493828 + -3.555555556x + x2 = -3.555555556 + 3.160493828 Combine like terms: -3.555555556 + 3.160493828 = -0.395061728 3.160493828 + -3.555555556x + x2 = -0.395061728 Factor a perfect square on the left side: (x + -1.777777778)(x + -1.777777778) = -0.395061728 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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