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Simplifying -10 + -7b = 6b2 Solving -10 + -7b = 6b2 Solving for variable 'b'. Combine like terms: 6b2 + -6b2 = 0 -10 + -7b + -6b2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 7b + 6b2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 7b + 6b2)' equal to zero and attempt to solve: Simplifying 10 + 7b + 6b2 = 0 Solving 10 + 7b + 6b2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.666666667 + 1.166666667b + b2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + 1.166666667b + -1.666666667 + b2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + 1.166666667b + b2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + 1.166666667b + b2 = 0 + -1.666666667 1.166666667b + b2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 1.166666667b + b2 = -1.666666667 The b term is 1.166666667b. 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. 1.166666667b + 0.3402777780 + b2 = -1.666666667 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667b + b2 = -1.666666667 + 0.3402777780 Combine like terms: -1.666666667 + 0.3402777780 = -1.326388889 0.3402777780 + 1.166666667b + b2 = -1.326388889 Factor a perfect square on the left side: (b + 0.5833333335)(b + 0.5833333335) = -1.326388889 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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