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Simplifying 6x2 + 28 + -2 = 2x + -10 Reorder the terms: 28 + -2 + 6x2 = 2x + -10 Combine like terms: 28 + -2 = 26 26 + 6x2 = 2x + -10 Reorder the terms: 26 + 6x2 = -10 + 2x Solving 26 + 6x2 = -10 + 2x Solving for variable 'x'. Reorder the terms: 26 + 10 + -2x + 6x2 = -10 + 2x + 10 + -2x Combine like terms: 26 + 10 = 36 36 + -2x + 6x2 = -10 + 2x + 10 + -2x Reorder the terms: 36 + -2x + 6x2 = -10 + 10 + 2x + -2x Combine like terms: -10 + 10 = 0 36 + -2x + 6x2 = 0 + 2x + -2x 36 + -2x + 6x2 = 2x + -2x Combine like terms: 2x + -2x = 0 36 + -2x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(18 + -1x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + -1x + 3x2)' equal to zero and attempt to solve: Simplifying 18 + -1x + 3x2 = 0 Solving 18 + -1x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -0.3333333333x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -0.3333333333x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -0.3333333333x + x2 = 0 + -6 -0.3333333333x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -0.3333333333x + x2 = -6 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 = -6 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -6 + 0.02777777779 Combine like terms: -6 + 0.02777777779 = -5.97222222221 0.02777777779 + -0.3333333333x + x2 = -5.97222222221 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -5.97222222221 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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