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Simplifying 5b2 = -33b + 14 Reorder the terms: 5b2 = 14 + -33b Solving 5b2 = 14 + -33b Solving for variable 'b'. Reorder the terms: -14 + 33b + 5b2 = 14 + -33b + -14 + 33b Reorder the terms: -14 + 33b + 5b2 = 14 + -14 + -33b + 33b Combine like terms: 14 + -14 = 0 -14 + 33b + 5b2 = 0 + -33b + 33b -14 + 33b + 5b2 = -33b + 33b Combine like terms: -33b + 33b = 0 -14 + 33b + 5b2 = 0 Factor a trinomial. (-7 + -1b)(2 + -5b) = 0Subproblem 1
Set the factor '(-7 + -1b)' equal to zero and attempt to solve: Simplifying -7 + -1b = 0 Solving -7 + -1b = 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 + -1b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1b = 0 + 7 -1b = 0 + 7 Combine like terms: 0 + 7 = 7 -1b = 7 Divide each side by '-1'. b = -7 Simplifying b = -7Subproblem 2
Set the factor '(2 + -5b)' equal to zero and attempt to solve: Simplifying 2 + -5b = 0 Solving 2 + -5b = 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 + -5b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5b = 0 + -2 -5b = 0 + -2 Combine like terms: 0 + -2 = -2 -5b = -2 Divide each side by '-5'. b = 0.4 Simplifying b = 0.4Solution
b = {-7, 0.4}
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