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Simplifying 8B2 + -29B + 15 = 0 Reorder the terms: 15 + -29B + 8B2 = 0 Solving 15 + -29B + 8B2 = 0 Solving for variable 'B'. Factor a trinomial. (5 + -8B)(3 + -1B) = 0Subproblem 1
Set the factor '(5 + -8B)' equal to zero and attempt to solve: Simplifying 5 + -8B = 0 Solving 5 + -8B = 0 Move all terms containing B to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8B = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8B = 0 + -5 -8B = 0 + -5 Combine like terms: 0 + -5 = -5 -8B = -5 Divide each side by '-8'. B = 0.625 Simplifying B = 0.625Subproblem 2
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 = 3Solution
B = {0.625, 3}
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