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Simplifying 9x2 + 10 + 12 + 9x2 + -21x + -4 = 0 Reorder the terms: 10 + 12 + -4 + -21x + 9x2 + 9x2 = 0 Combine like terms: 10 + 12 = 22 22 + -4 + -21x + 9x2 + 9x2 = 0 Combine like terms: 22 + -4 = 18 18 + -21x + 9x2 + 9x2 = 0 Combine like terms: 9x2 + 9x2 = 18x2 18 + -21x + 18x2 = 0 Solving 18 + -21x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -7x + 6x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -7x + 6x2)' equal to zero and attempt to solve: Simplifying 6 + -7x + 6x2 = 0 Solving 6 + -7x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1 + -1.166666667x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.166666667x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.166666667x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.166666667x + x2 = 0 + -1 -1.166666667x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.166666667x + x2 = -1 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 = -1 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667x + x2 = -1 + 0.3402777780 Combine like terms: -1 + 0.3402777780 = -0.659722222 0.3402777780 + -1.166666667x + x2 = -0.659722222 Factor a perfect square on the left side: (x + -0.5833333335)(x + -0.5833333335) = -0.659722222 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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