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Simplifying 12x2 + 24 + 5 = 4x + 5 Reorder the terms: 24 + 5 + 12x2 = 4x + 5 Combine like terms: 24 + 5 = 29 29 + 12x2 = 4x + 5 Reorder the terms: 29 + 12x2 = 5 + 4x Solving 29 + 12x2 = 5 + 4x Solving for variable 'x'. Reorder the terms: 29 + -5 + -4x + 12x2 = 5 + 4x + -5 + -4x Combine like terms: 29 + -5 = 24 24 + -4x + 12x2 = 5 + 4x + -5 + -4x Reorder the terms: 24 + -4x + 12x2 = 5 + -5 + 4x + -4x Combine like terms: 5 + -5 = 0 24 + -4x + 12x2 = 0 + 4x + -4x 24 + -4x + 12x2 = 4x + -4x Combine like terms: 4x + -4x = 0 24 + -4x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(6 + -1x + 3x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + -1x + 3x2)' equal to zero and attempt to solve: Simplifying 6 + -1x + 3x2 = 0 Solving 6 + -1x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.3333333333x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.3333333333x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.3333333333x + x2 = 0 + -2 -0.3333333333x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.3333333333x + x2 = -2 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 = -2 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -2 + 0.02777777779 Combine like terms: -2 + 0.02777777779 = -1.97222222221 0.02777777779 + -0.3333333333x + x2 = -1.97222222221 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -1.97222222221 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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