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Simplifying 14b2 + 142b + 144 = 0 Reorder the terms: 144 + 142b + 14b2 = 0 Solving 144 + 142b + 14b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(72 + 71b + 7b2) = 0 Factor a trinomial. 2((9 + b)(8 + 7b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + b)' equal to zero and attempt to solve: Simplifying 9 + b = 0 Solving 9 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + b = 0 + -9 b = 0 + -9 Combine like terms: 0 + -9 = -9 b = -9 Simplifying b = -9Subproblem 2
Set the factor '(8 + 7b)' equal to zero and attempt to solve: Simplifying 8 + 7b = 0 Solving 8 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7b = 0 + -8 7b = 0 + -8 Combine like terms: 0 + -8 = -8 7b = -8 Divide each side by '7'. b = -1.142857143 Simplifying b = -1.142857143Solution
b = {-9, -1.142857143}
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