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Simplifying 18b2 + 13b + -21 = 0 Reorder the terms: -21 + 13b + 18b2 = 0 Solving -21 + 13b + 18b2 = 0 Solving for variable 'b'. Factor a trinomial. (-3 + -2b)(7 + -9b) = 0Subproblem 1
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 = -1.5Subproblem 2
Set the factor '(7 + -9b)' equal to zero and attempt to solve: Simplifying 7 + -9b = 0 Solving 7 + -9b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9b = 0 + -7 -9b = 0 + -7 Combine like terms: 0 + -7 = -7 -9b = -7 Divide each side by '-9'. b = 0.7777777778 Simplifying b = 0.7777777778Solution
b = {-1.5, 0.7777777778}
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