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Simplifying 16b2 + -48b + 11 = 0 Reorder the terms: 11 + -48b + 16b2 = 0 Solving 11 + -48b + 16b2 = 0 Solving for variable 'b'. Factor a trinomial. (1 + -4b)(11 + -4b) = 0Subproblem 1
Set the factor '(1 + -4b)' equal to zero and attempt to solve: Simplifying 1 + -4b = 0 Solving 1 + -4b = 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 + -4b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4b = 0 + -1 -4b = 0 + -1 Combine like terms: 0 + -1 = -1 -4b = -1 Divide each side by '-4'. b = 0.25 Simplifying b = 0.25Subproblem 2
Set the factor '(11 + -4b)' equal to zero and attempt to solve: Simplifying 11 + -4b = 0 Solving 11 + -4b = 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 + -4b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4b = 0 + -11 -4b = 0 + -11 Combine like terms: 0 + -11 = -11 -4b = -11 Divide each side by '-4'. b = 2.75 Simplifying b = 2.75Solution
b = {0.25, 2.75}
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