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Simplifying 7b2 + 18b + -9 = 0 Reorder the terms: -9 + 18b + 7b2 = 0 Solving -9 + 18b + 7b2 = 0 Solving for variable 'b'. Factor a trinomial. (-3 + -1b)(3 + -7b) = 0Subproblem 1
Set the factor '(-3 + -1b)' equal to zero and attempt to solve: Simplifying -3 + -1b = 0 Solving -3 + -1b = 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 + -1b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1b = 0 + 3 -1b = 0 + 3 Combine like terms: 0 + 3 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3Subproblem 2
Set the factor '(3 + -7b)' equal to zero and attempt to solve: Simplifying 3 + -7b = 0 Solving 3 + -7b = 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 + -7b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7b = 0 + -3 -7b = 0 + -3 Combine like terms: 0 + -3 = -3 -7b = -3 Divide each side by '-7'. b = 0.4285714286 Simplifying b = 0.4285714286Solution
b = {-3, 0.4285714286}
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