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Simplifying -72 + 54x + -54x2 = 0 Solving -72 + 54x + -54x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18'. 18(-4 + 3x + -3x2) = 0 Ignore the factor 18.Subproblem 1
Set the factor '(-4 + 3x + -3x2)' equal to zero and attempt to solve: Simplifying -4 + 3x + -3x2 = 0 Solving -4 + 3x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 1.333333333 + -1x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + -1x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + -1x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + -1x + x2 = 0 + -1.333333333 -1x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 -1x + x2 = -1.333333333 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.333333333 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.333333333 + 0.25 Combine like terms: -1.333333333 + 0.25 = -1.083333333 0.25 + -1x + x2 = -1.083333333 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.083333333 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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