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Simplifying 12b2 + 44b + 7 + 0 = 0 Reorder the terms: 7 + 0 + 44b + 12b2 = 0 Combine like terms: 7 + 0 = 7 7 + 44b + 12b2 = 0 Solving 7 + 44b + 12b2 = 0 Solving for variable 'b'. Factor a trinomial. (7 + 2b)(1 + 6b) = 0Subproblem 1
Set the factor '(7 + 2b)' equal to zero and attempt to solve: Simplifying 7 + 2b = 0 Solving 7 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2b = 0 + -7 2b = 0 + -7 Combine like terms: 0 + -7 = -7 2b = -7 Divide each side by '2'. b = -3.5 Simplifying b = -3.5Subproblem 2
Set the factor '(1 + 6b)' equal to zero and attempt to solve: Simplifying 1 + 6b = 0 Solving 1 + 6b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6b = 0 + -1 6b = 0 + -1 Combine like terms: 0 + -1 = -1 6b = -1 Divide each side by '6'. b = -0.1666666667 Simplifying b = -0.1666666667Solution
b = {-3.5, -0.1666666667}
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