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Simplifying 6b2 + b + -126 = 0 Reorder the terms: -126 + b + 6b2 = 0 Solving -126 + b + 6b2 = 0 Solving for variable 'b'. Factor a trinomial. (-14 + -3b)(9 + -2b) = 0Subproblem 1
Set the factor '(-14 + -3b)' equal to zero and attempt to solve: Simplifying -14 + -3b = 0 Solving -14 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3b = 0 + 14 -3b = 0 + 14 Combine like terms: 0 + 14 = 14 -3b = 14 Divide each side by '-3'. b = -4.666666667 Simplifying b = -4.666666667Subproblem 2
Set the factor '(9 + -2b)' equal to zero and attempt to solve: Simplifying 9 + -2b = 0 Solving 9 + -2b = 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 + -2b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2b = 0 + -9 -2b = 0 + -9 Combine like terms: 0 + -9 = -9 -2b = -9 Divide each side by '-2'. b = 4.5 Simplifying b = 4.5Solution
b = {-4.666666667, 4.5}
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