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Simplifying 2b2 + -1b + -7 = 14 Reorder the terms: -7 + -1b + 2b2 = 14 Solving -7 + -1b + 2b2 = 14 Solving for variable 'b'. Reorder the terms: -7 + -14 + -1b + 2b2 = 14 + -14 Combine like terms: -7 + -14 = -21 -21 + -1b + 2b2 = 14 + -14 Combine like terms: 14 + -14 = 0 -21 + -1b + 2b2 = 0 Factor a trinomial. (-3 + -1b)(7 + -2b) = 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 '(7 + -2b)' equal to zero and attempt to solve: Simplifying 7 + -2b = 0 Solving 7 + -2b = 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 + -2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2b = 0 + -7 -2b = 0 + -7 Combine like terms: 0 + -7 = -7 -2b = -7 Divide each side by '-2'. b = 3.5 Simplifying b = 3.5Solution
b = {-3, 3.5}
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