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Simplifying 12b2 + 5b = 2 Reorder the terms: 5b + 12b2 = 2 Solving 5b + 12b2 = 2 Solving for variable 'b'. Reorder the terms: -2 + 5b + 12b2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 5b + 12b2 = 0 Factor a trinomial. (-2 + -3b)(1 + -4b) = 0Subproblem 1
Set the factor '(-2 + -3b)' equal to zero and attempt to solve: Simplifying -2 + -3b = 0 Solving -2 + -3b = 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 + -3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = 0 + 2 -3b = 0 + 2 Combine like terms: 0 + 2 = 2 -3b = 2 Divide each side by '-3'. b = -0.6666666667 Simplifying b = -0.6666666667Subproblem 2
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 = 0.25Solution
b = {-0.6666666667, 0.25}
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