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Simplifying -24 = -25b2 + -25b Reorder the terms: -24 = -25b + -25b2 Solving -24 = -25b + -25b2 Solving for variable 'b'. Reorder the terms: -24 + 25b + 25b2 = -25b + 25b + -25b2 + 25b2 Combine like terms: -25b + 25b = 0 -24 + 25b + 25b2 = 0 + -25b2 + 25b2 -24 + 25b + 25b2 = -25b2 + 25b2 Combine like terms: -25b2 + 25b2 = 0 -24 + 25b + 25b2 = 0 Factor a trinomial. (-8 + -5b)(3 + -5b) = 0Subproblem 1
Set the factor '(-8 + -5b)' equal to zero and attempt to solve: Simplifying -8 + -5b = 0 Solving -8 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5b = 0 + 8 -5b = 0 + 8 Combine like terms: 0 + 8 = 8 -5b = 8 Divide each side by '-5'. b = -1.6 Simplifying b = -1.6Subproblem 2
Set the factor '(3 + -5b)' equal to zero and attempt to solve: Simplifying 3 + -5b = 0 Solving 3 + -5b = 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 + -5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = 0 + -3 -5b = 0 + -3 Combine like terms: 0 + -3 = -3 -5b = -3 Divide each side by '-5'. b = 0.6 Simplifying b = 0.6Solution
b = {-1.6, 0.6}
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