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Simplifying 14b2 + -41b + -28 = 0 Reorder the terms: -28 + -41b + 14b2 = 0 Solving -28 + -41b + 14b2 = 0 Solving for variable 'b'. Factor a trinomial. (-4 + -7b)(7 + -2b) = 0Subproblem 1
Set the factor '(-4 + -7b)' equal to zero and attempt to solve: Simplifying -4 + -7b = 0 Solving -4 + -7b = 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 + -7b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7b = 0 + 4 -7b = 0 + 4 Combine like terms: 0 + 4 = 4 -7b = 4 Divide each side by '-7'. b = -0.5714285714 Simplifying b = -0.5714285714Subproblem 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 = {-0.5714285714, 3.5}
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