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Simplifying 25b2 + -30b + -40 = 0 Reorder the terms: -40 + -30b + 25b2 = 0 Solving -40 + -30b + 25b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(-8 + -6b + 5b2) = 0 Factor a trinomial. 5((-4 + -5b)(2 + -1b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -5b)' equal to zero and attempt to solve: Simplifying -4 + -5b = 0 Solving -4 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5b = 0 + 4 -5b = 0 + 4 Combine like terms: 0 + 4 = 4 -5b = 4 Divide each side by '-5'. b = -0.8 Simplifying b = -0.8Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 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 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Solution
b = {-0.8, 2}
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