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Simplifying 6x2 + -2x = -96 Reorder the terms: -2x + 6x2 = -96 Solving -2x + 6x2 = -96 Solving for variable 'x'. Reorder the terms: 96 + -2x + 6x2 = -96 + 96 Combine like terms: -96 + 96 = 0 96 + -2x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(48 + -1x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(48 + -1x + 3x2)' equal to zero and attempt to solve: Simplifying 48 + -1x + 3x2 = 0 Solving 48 + -1x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 16 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -0.3333333333x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -0.3333333333x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -0.3333333333x + x2 = 0 + -16 -0.3333333333x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -0.3333333333x + x2 = -16 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = -16 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -16 + 0.02777777779 Combine like terms: -16 + 0.02777777779 = -15.97222222221 0.02777777779 + -0.3333333333x + x2 = -15.97222222221 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -15.97222222221 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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