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Simplifying 8b2 + -10b = 3 Reorder the terms: -10b + 8b2 = 3 Solving -10b + 8b2 = 3 Solving for variable 'b'. Reorder the terms: -3 + -10b + 8b2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -10b + 8b2 = 0 Factor a trinomial. (-1 + -4b)(3 + -2b) = 0Subproblem 1
Set the factor '(-1 + -4b)' equal to zero and attempt to solve: Simplifying -1 + -4b = 0 Solving -1 + -4b = 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 + -4b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4b = 0 + 1 -4b = 0 + 1 Combine like terms: 0 + 1 = 1 -4b = 1 Divide each side by '-4'. b = -0.25 Simplifying b = -0.25Subproblem 2
Set the factor '(3 + -2b)' equal to zero and attempt to solve: Simplifying 3 + -2b = 0 Solving 3 + -2b = 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 + -2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2b = 0 + -3 -2b = 0 + -3 Combine like terms: 0 + -3 = -3 -2b = -3 Divide each side by '-2'. b = 1.5 Simplifying b = 1.5Solution
b = {-0.25, 1.5}
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