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Simplifying 12x2 + -320x + 25600 = 0 Reorder the terms: 25600 + -320x + 12x2 = 0 Solving 25600 + -320x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(6400 + -80x + 3x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6400 + -80x + 3x2)' equal to zero and attempt to solve: Simplifying 6400 + -80x + 3x2 = 0 Solving 6400 + -80x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2133.333333 + -26.66666667x + x2 = 0 Move the constant term to the right: Add '-2133.333333' to each side of the equation. 2133.333333 + -26.66666667x + -2133.333333 + x2 = 0 + -2133.333333 Reorder the terms: 2133.333333 + -2133.333333 + -26.66666667x + x2 = 0 + -2133.333333 Combine like terms: 2133.333333 + -2133.333333 = 0.000000 0.000000 + -26.66666667x + x2 = 0 + -2133.333333 -26.66666667x + x2 = 0 + -2133.333333 Combine like terms: 0 + -2133.333333 = -2133.333333 -26.66666667x + x2 = -2133.333333 The x term is -26.66666667x. Take half its coefficient (-13.33333334). Square it (177.7777780) and add it to both sides. Add '177.7777780' to each side of the equation. -26.66666667x + 177.7777780 + x2 = -2133.333333 + 177.7777780 Reorder the terms: 177.7777780 + -26.66666667x + x2 = -2133.333333 + 177.7777780 Combine like terms: -2133.333333 + 177.7777780 = -1955.555555 177.7777780 + -26.66666667x + x2 = -1955.555555 Factor a perfect square on the left side: (x + -13.33333334)(x + -13.33333334) = -1955.555555 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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