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Simplifying 144 + -40x + 12x2 = 0 Solving 144 + -40x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(36 + -10x + 3x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(36 + -10x + 3x2)' equal to zero and attempt to solve: Simplifying 36 + -10x + 3x2 = 0 Solving 36 + -10x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 12 + -3.333333333x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -3.333333333x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -3.333333333x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3.333333333x + x2 = 0 + -12 -3.333333333x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -3.333333333x + x2 = -12 The x term is -3.333333333x. Take half its coefficient (-1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. -3.333333333x + 2.777777779 + x2 = -12 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333x + x2 = -12 + 2.777777779 Combine like terms: -12 + 2.777777779 = -9.222222221 2.777777779 + -3.333333333x + x2 = -9.222222221 Factor a perfect square on the left side: (x + -1.666666667)(x + -1.666666667) = -9.222222221 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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