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Simplifying 9x2 + -24x + 144 = 0 Reorder the terms: 144 + -24x + 9x2 = 0 Solving 144 + -24x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(48 + -8x + 3x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(48 + -8x + 3x2)' equal to zero and attempt to solve: Simplifying 48 + -8x + 3x2 = 0 Solving 48 + -8x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 16 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -2.666666667x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -2.666666667x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2.666666667x + x2 = 0 + -16 -2.666666667x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -2.666666667x + x2 = -16 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = -16 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = -16 + 1.777777780 Combine like terms: -16 + 1.777777780 = -14.22222222 1.777777780 + -2.666666667x + x2 = -14.22222222 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = -14.22222222 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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