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Simplifying 6b2 + 17b + -10 = 0 Reorder the terms: -10 + 17b + 6b2 = 0 Solving -10 + 17b + 6b2 = 0 Solving for variable 'b'. Factor a trinomial. (-10 + -3b)(1 + -2b) = 0Subproblem 1
Set the factor '(-10 + -3b)' equal to zero and attempt to solve: Simplifying -10 + -3b = 0 Solving -10 + -3b = 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 + -3b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3b = 0 + 10 -3b = 0 + 10 Combine like terms: 0 + 10 = 10 -3b = 10 Divide each side by '-3'. b = -3.333333333 Simplifying b = -3.333333333Subproblem 2
Set the factor '(1 + -2b)' equal to zero and attempt to solve: Simplifying 1 + -2b = 0 Solving 1 + -2b = 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 + -2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2b = 0 + -1 -2b = 0 + -1 Combine like terms: 0 + -1 = -1 -2b = -1 Divide each side by '-2'. b = 0.5 Simplifying b = 0.5Solution
b = {-3.333333333, 0.5}
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