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Simplifying 45b2 + -10b + 18b + -4 = 0 Reorder the terms: -4 + -10b + 18b + 45b2 = 0 Combine like terms: -10b + 18b = 8b -4 + 8b + 45b2 = 0 Solving -4 + 8b + 45b2 = 0 Solving for variable 'b'. Factor a trinomial. (-2 + -5b)(2 + -9b) = 0Subproblem 1
Set the factor '(-2 + -5b)' equal to zero and attempt to solve: Simplifying -2 + -5b = 0 Solving -2 + -5b = 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 + -5b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5b = 0 + 2 -5b = 0 + 2 Combine like terms: 0 + 2 = 2 -5b = 2 Divide each side by '-5'. b = -0.4 Simplifying b = -0.4Subproblem 2
Set the factor '(2 + -9b)' equal to zero and attempt to solve: Simplifying 2 + -9b = 0 Solving 2 + -9b = 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 + -9b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9b = 0 + -2 -9b = 0 + -2 Combine like terms: 0 + -2 = -2 -9b = -2 Divide each side by '-9'. b = 0.2222222222 Simplifying b = 0.2222222222Solution
b = {-0.4, 0.2222222222}
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