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Simplifying 35b2 + 16 + -54b = 0 Reorder the terms: 16 + -54b + 35b2 = 0 Solving 16 + -54b + 35b2 = 0 Solving for variable 'b'. Factor a trinomial. (2 + -5b)(8 + -7b) = 0Subproblem 1
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 = 0.4Subproblem 2
Set the factor '(8 + -7b)' equal to zero and attempt to solve: Simplifying 8 + -7b = 0 Solving 8 + -7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7b = 0 + -8 -7b = 0 + -8 Combine like terms: 0 + -8 = -8 -7b = -8 Divide each side by '-7'. b = 1.142857143 Simplifying b = 1.142857143Solution
b = {0.4, 1.142857143}
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