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Simplifying 4b2 + 3b + -45 = 0 Reorder the terms: -45 + 3b + 4b2 = 0 Solving -45 + 3b + 4b2 = 0 Solving for variable 'b'. Factor a trinomial. (-15 + -4b)(3 + -1b) = 0Subproblem 1
Set the factor '(-15 + -4b)' equal to zero and attempt to solve: Simplifying -15 + -4b = 0 Solving -15 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4b = 0 + 15 -4b = 0 + 15 Combine like terms: 0 + 15 = 15 -4b = 15 Divide each side by '-4'. b = -3.75 Simplifying b = -3.75Subproblem 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 = {-3.75, 3}
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