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Simplifying (-5b7 + -2b6) + (18b5 + 15b7) = 0 Reorder the terms: (-2b6 + -5b7) + (18b5 + 15b7) = 0 Remove parenthesis around (-2b6 + -5b7) -2b6 + -5b7 + (18b5 + 15b7) = 0 Remove parenthesis around (18b5 + 15b7) -2b6 + -5b7 + 18b5 + 15b7 = 0 Reorder the terms: 18b5 + -2b6 + -5b7 + 15b7 = 0 Combine like terms: -5b7 + 15b7 = 10b7 18b5 + -2b6 + 10b7 = 0 Solving 18b5 + -2b6 + 10b7 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b5'. 2b5(9 + -1b + 5b2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b5' equal to zero and attempt to solve: Simplifying b5 = 0 Solving b5 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(9 + -1b + 5b2)' equal to zero and attempt to solve: Simplifying 9 + -1b + 5b2 = 0 Solving 9 + -1b + 5b2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + -0.2b + b2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -0.2b + -1.8 + b2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -0.2b + b2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.2b + b2 = 0 + -1.8 -0.2b + b2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -0.2b + b2 = -1.8 The b term is -0.2b. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2b + 0.01 + b2 = -1.8 + 0.01 Reorder the terms: 0.01 + -0.2b + b2 = -1.8 + 0.01 Combine like terms: -1.8 + 0.01 = -1.79 0.01 + -0.2b + b2 = -1.79 Factor a perfect square on the left side: (b + -0.1)(b + -0.1) = -1.79 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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