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Simplifying 5b2 + -27 = -6b Reorder the terms: -27 + 5b2 = -6b Solving -27 + 5b2 = -6b Solving for variable 'b'. Reorder the terms: -27 + 6b + 5b2 = -6b + 6b Combine like terms: -6b + 6b = 0 -27 + 6b + 5b2 = 0 Factor a trinomial. (-3 + -1b)(9 + -5b) = 0Subproblem 1
Set the factor '(-3 + -1b)' equal to zero and attempt to solve: Simplifying -3 + -1b = 0 Solving -3 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1b = 0 + 3 -1b = 0 + 3 Combine like terms: 0 + 3 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3Subproblem 2
Set the factor '(9 + -5b)' equal to zero and attempt to solve: Simplifying 9 + -5b = 0 Solving 9 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5b = 0 + -9 -5b = 0 + -9 Combine like terms: 0 + -9 = -9 -5b = -9 Divide each side by '-5'. b = 1.8 Simplifying b = 1.8Solution
b = {-3, 1.8}
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