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Simplifying 6b2 + 5b + 5b + -3b + -10 = 0 Reorder the terms: -10 + 5b + 5b + -3b + 6b2 = 0 Combine like terms: 5b + 5b = 10b -10 + 10b + -3b + 6b2 = 0 Combine like terms: 10b + -3b = 7b -10 + 7b + 6b2 = 0 Solving -10 + 7b + 6b2 = 0 Solving for variable 'b'. Factor a trinomial. (-2 + -1b)(5 + -6b) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(5 + -6b)' equal to zero and attempt to solve: Simplifying 5 + -6b = 0 Solving 5 + -6b = 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 + -6b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6b = 0 + -5 -6b = 0 + -5 Combine like terms: 0 + -5 = -5 -6b = -5 Divide each side by '-6'. b = 0.8333333333 Simplifying b = 0.8333333333Solution
b = {-2, 0.8333333333}
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