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Simplifying 21b2 + -52b + 7 = 0 Reorder the terms: 7 + -52b + 21b2 = 0 Solving 7 + -52b + 21b2 = 0 Solving for variable 'b'. Factor a trinomial. (1 + -7b)(7 + -3b) = 0Subproblem 1
Set the factor '(1 + -7b)' equal to zero and attempt to solve: Simplifying 1 + -7b = 0 Solving 1 + -7b = 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 + -7b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7b = 0 + -1 -7b = 0 + -1 Combine like terms: 0 + -1 = -1 -7b = -1 Divide each side by '-7'. b = 0.1428571429 Simplifying b = 0.1428571429Subproblem 2
Set the factor '(7 + -3b)' equal to zero and attempt to solve: Simplifying 7 + -3b = 0 Solving 7 + -3b = 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 + -3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3b = 0 + -7 -3b = 0 + -7 Combine like terms: 0 + -7 = -7 -3b = -7 Divide each side by '-3'. b = 2.333333333 Simplifying b = 2.333333333Solution
b = {0.1428571429, 2.333333333}
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