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Simplifying 0 = 12b2 + -25b + 12 Reorder the terms: 0 = 12 + -25b + 12b2 Solving 0 = 12 + -25b + 12b2 Solving for variable 'b'. Combine like terms: 0 + -12 = -12 -12 + 25b + -12b2 = 12 + -25b + 12b2 + -12 + 25b + -12b2 Reorder the terms: -12 + 25b + -12b2 = 12 + -12 + -25b + 25b + 12b2 + -12b2 Combine like terms: 12 + -12 = 0 -12 + 25b + -12b2 = 0 + -25b + 25b + 12b2 + -12b2 -12 + 25b + -12b2 = -25b + 25b + 12b2 + -12b2 Combine like terms: -25b + 25b = 0 -12 + 25b + -12b2 = 0 + 12b2 + -12b2 -12 + 25b + -12b2 = 12b2 + -12b2 Combine like terms: 12b2 + -12b2 = 0 -12 + 25b + -12b2 = 0 Factor a trinomial. (-4 + 3b)(3 + -4b) = 0Subproblem 1
Set the factor '(-4 + 3b)' equal to zero and attempt to solve: Simplifying -4 + 3b = 0 Solving -4 + 3b = 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 + 3b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3b = 0 + 4 3b = 0 + 4 Combine like terms: 0 + 4 = 4 3b = 4 Divide each side by '3'. b = 1.333333333 Simplifying b = 1.333333333Subproblem 2
Set the factor '(3 + -4b)' equal to zero and attempt to solve: Simplifying 3 + -4b = 0 Solving 3 + -4b = 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 + -4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4b = 0 + -3 -4b = 0 + -3 Combine like terms: 0 + -3 = -3 -4b = -3 Divide each side by '-4'. b = 0.75 Simplifying b = 0.75Solution
b = {1.333333333, 0.75}
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