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Simplifying -2b2 + 29b + -90 = 0 Reorder the terms: -90 + 29b + -2b2 = 0 Solving -90 + 29b + -2b2 = 0 Solving for variable 'b'. Factor a trinomial. (-10 + b)(9 + -2b) = 0Subproblem 1
Set the factor '(-10 + b)' equal to zero and attempt to solve: Simplifying -10 + b = 0 Solving -10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + b = 0 + 10 b = 0 + 10 Combine like terms: 0 + 10 = 10 b = 10 Simplifying b = 10Subproblem 2
Set the factor '(9 + -2b)' equal to zero and attempt to solve: Simplifying 9 + -2b = 0 Solving 9 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2b = 0 + -9 -2b = 0 + -9 Combine like terms: 0 + -9 = -9 -2b = -9 Divide each side by '-2'. b = 4.5 Simplifying b = 4.5Solution
b = {10, 4.5}
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