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Simplifying 4b2 + 7b = 11 Reorder the terms: 7b + 4b2 = 11 Solving 7b + 4b2 = 11 Solving for variable 'b'. Reorder the terms: -11 + 7b + 4b2 = 11 + -11 Combine like terms: 11 + -11 = 0 -11 + 7b + 4b2 = 0 Factor a trinomial. (-11 + -4b)(1 + -1b) = 0Subproblem 1
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 = -2.75Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 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 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1Solution
b = {-2.75, 1}
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