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Simplifying 6b * b + -13b + 3 = -3 Multiply b * b 6b2 + -13b + 3 = -3 Reorder the terms: 3 + -13b + 6b2 = -3 Solving 3 + -13b + 6b2 = -3 Solving for variable 'b'. Reorder the terms: 3 + 3 + -13b + 6b2 = -3 + 3 Combine like terms: 3 + 3 = 6 6 + -13b + 6b2 = -3 + 3 Combine like terms: -3 + 3 = 0 6 + -13b + 6b2 = 0 Factor a trinomial. (2 + -3b)(3 + -2b) = 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 '(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 = {0.6666666667, 1.5}
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