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Simplifying 15b2 + -42 = 17b Reorder the terms: -42 + 15b2 = 17b Solving -42 + 15b2 = 17b Solving for variable 'b'. Reorder the terms: -42 + -17b + 15b2 = 17b + -17b Combine like terms: 17b + -17b = 0 -42 + -17b + 15b2 = 0 Factor a trinomial. (-6 + -5b)(7 + -3b) = 0Subproblem 1
Set the factor '(-6 + -5b)' equal to zero and attempt to solve: Simplifying -6 + -5b = 0 Solving -6 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5b = 0 + 6 -5b = 0 + 6 Combine like terms: 0 + 6 = 6 -5b = 6 Divide each side by '-5'. b = -1.2 Simplifying b = -1.2Subproblem 2
Set the factor '(7 + -3b)' equal to zero and attempt to solve: Simplifying 7 + -3b = 0 Solving 7 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3b = 0 + -7 -3b = 0 + -7 Combine like terms: 0 + -7 = -7 -3b = -7 Divide each side by '-3'. b = 2.333333333 Simplifying b = 2.333333333Solution
b = {-1.2, 2.333333333}
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