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Simplifying 12b2 + -17b + -99 = 0 Reorder the terms: -99 + -17b + 12b2 = 0 Solving -99 + -17b + 12b2 = 0 Solving for variable 'b'. Factor a trinomial. (-9 + -4b)(11 + -3b) = 0Subproblem 1
Set the factor '(-9 + -4b)' equal to zero and attempt to solve: Simplifying -9 + -4b = 0 Solving -9 + -4b = 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 + -4b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4b = 0 + 9 -4b = 0 + 9 Combine like terms: 0 + 9 = 9 -4b = 9 Divide each side by '-4'. b = -2.25 Simplifying b = -2.25Subproblem 2
Set the factor '(11 + -3b)' equal to zero and attempt to solve: Simplifying 11 + -3b = 0 Solving 11 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3b = 0 + -11 -3b = 0 + -11 Combine like terms: 0 + -11 = -11 -3b = -11 Divide each side by '-3'. b = 3.666666667 Simplifying b = 3.666666667Solution
b = {-2.25, 3.666666667}
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