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Simplifying 10b2 + -40 = -9b Reorder the terms: -40 + 10b2 = -9b Solving -40 + 10b2 = -9b Solving for variable 'b'. Reorder the terms: -40 + 9b + 10b2 = -9b + 9b Combine like terms: -9b + 9b = 0 -40 + 9b + 10b2 = 0 Factor a trinomial. (-5 + -2b)(8 + -5b) = 0Subproblem 1
Set the factor '(-5 + -2b)' equal to zero and attempt to solve: Simplifying -5 + -2b = 0 Solving -5 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2b = 0 + 5 -2b = 0 + 5 Combine like terms: 0 + 5 = 5 -2b = 5 Divide each side by '-2'. b = -2.5 Simplifying b = -2.5Subproblem 2
Set the factor '(8 + -5b)' equal to zero and attempt to solve: Simplifying 8 + -5b = 0 Solving 8 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5b = 0 + -8 -5b = 0 + -8 Combine like terms: 0 + -8 = -8 -5b = -8 Divide each side by '-5'. b = 1.6 Simplifying b = 1.6Solution
b = {-2.5, 1.6}
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