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Simplifying 6b2 + -40b + -14 = 0 Reorder the terms: -14 + -40b + 6b2 = 0 Solving -14 + -40b + 6b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -20b + 3b2) = 0 Factor a trinomial. 2((-1 + -3b)(7 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -3b)' equal to zero and attempt to solve: Simplifying -1 + -3b = 0 Solving -1 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3b = 0 + 1 -3b = 0 + 1 Combine like terms: 0 + 1 = 1 -3b = 1 Divide each side by '-3'. b = -0.3333333333 Simplifying b = -0.3333333333Subproblem 2
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 = 7Solution
b = {-0.3333333333, 7}
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