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Simplifying 2b2 + -60 = -7b Reorder the terms: -60 + 2b2 = -7b Solving -60 + 2b2 = -7b Solving for variable 'b'. Reorder the terms: -60 + 7b + 2b2 = -7b + 7b Combine like terms: -7b + 7b = 0 -60 + 7b + 2b2 = 0 Factor a trinomial. (-15 + -2b)(4 + -1b) = 0Subproblem 1
Set the factor '(-15 + -2b)' equal to zero and attempt to solve: Simplifying -15 + -2b = 0 Solving -15 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2b = 0 + 15 -2b = 0 + 15 Combine like terms: 0 + 15 = 15 -2b = 15 Divide each side by '-2'. b = -7.5 Simplifying b = -7.5Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {-7.5, 4}
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