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Simplifying 3b2 + -1b + -10 = 0 Reorder the terms: -10 + -1b + 3b2 = 0 Solving -10 + -1b + 3b2 = 0 Solving for variable 'b'. Factor a trinomial. (-5 + -3b)(2 + -1b) = 0Subproblem 1
Set the factor '(-5 + -3b)' equal to zero and attempt to solve: Simplifying -5 + -3b = 0 Solving -5 + -3b = 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 + -3b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3b = 0 + 5 -3b = 0 + 5 Combine like terms: 0 + 5 = 5 -3b = 5 Divide each side by '-3'. b = -1.666666667 Simplifying b = -1.666666667Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Solution
b = {-1.666666667, 2}
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