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Simplifying 3X2 + 6X + 4 + (9X2 + 8X + 4) = 0 Reorder the terms: 3X2 + 6X + 4 + (4 + 8X + 9X2) = 0 Remove parenthesis around (4 + 8X + 9X2) 3X2 + 6X + 4 + 4 + 8X + 9X2 = 0 Reorder the terms: 4 + 4 + 6X + 8X + 3X2 + 9X2 = 0 Combine like terms: 4 + 4 = 8 8 + 6X + 8X + 3X2 + 9X2 = 0 Combine like terms: 6X + 8X = 14X 8 + 14X + 3X2 + 9X2 = 0 Combine like terms: 3X2 + 9X2 = 12X2 8 + 14X + 12X2 = 0 Solving 8 + 14X + 12X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 7X + 6X2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 7X + 6X2)' equal to zero and attempt to solve: Simplifying 4 + 7X + 6X2 = 0 Solving 4 + 7X + 6X2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.6666666667 + 1.166666667X + X2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + 1.166666667X + -0.6666666667 + X2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + 1.166666667X + X2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + 1.166666667X + X2 = 0 + -0.6666666667 1.166666667X + X2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 1.166666667X + X2 = -0.6666666667 The X term is 1.166666667X. Take half its coefficient (0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. 1.166666667X + 0.3402777780 + X2 = -0.6666666667 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667X + X2 = -0.6666666667 + 0.3402777780 Combine like terms: -0.6666666667 + 0.3402777780 = -0.3263888887 0.3402777780 + 1.166666667X + X2 = -0.3263888887 Factor a perfect square on the left side: (X + 0.5833333335)(X + 0.5833333335) = -0.3263888887 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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