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Simplifying 4b2 = 9b + 9 Reorder the terms: 4b2 = 9 + 9b Solving 4b2 = 9 + 9b Solving for variable 'b'. Reorder the terms: -9 + -9b + 4b2 = 9 + 9b + -9 + -9b Reorder the terms: -9 + -9b + 4b2 = 9 + -9 + 9b + -9b Combine like terms: 9 + -9 = 0 -9 + -9b + 4b2 = 0 + 9b + -9b -9 + -9b + 4b2 = 9b + -9b Combine like terms: 9b + -9b = 0 -9 + -9b + 4b2 = 0 Factor a trinomial. (-3 + -4b)(3 + -1b) = 0Subproblem 1
Set the factor '(-3 + -4b)' equal to zero and attempt to solve: Simplifying -3 + -4b = 0 Solving -3 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4b = 0 + 3 -4b = 0 + 3 Combine like terms: 0 + 3 = 3 -4b = 3 Divide each side by '-4'. b = -0.75 Simplifying b = -0.75Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve: Simplifying 3 + -1b = 0 Solving 3 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 0 + -3 -1b = 0 + -3 Combine like terms: 0 + -3 = -3 -1b = -3 Divide each side by '-1'. b = 3 Simplifying b = 3Solution
b = {-0.75, 3}
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