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Simplifying 4b2 + -31b + -90 = 0 Reorder the terms: -90 + -31b + 4b2 = 0 Solving -90 + -31b + 4b2 = 0 Solving for variable 'b'. Factor a trinomial. (-9 + -4b)(10 + -1b) = 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 '(10 + -1b)' equal to zero and attempt to solve: Simplifying 10 + -1b = 0 Solving 10 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1b = 0 + -10 -1b = 0 + -10 Combine like terms: 0 + -10 = -10 -1b = -10 Divide each side by '-1'. b = 10 Simplifying b = 10Solution
b = {-2.25, 10}
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