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Simplifying 25b2 = 15b + 18 Reorder the terms: 25b2 = 18 + 15b Solving 25b2 = 18 + 15b Solving for variable 'b'. Reorder the terms: -18 + -15b + 25b2 = 18 + 15b + -18 + -15b Reorder the terms: -18 + -15b + 25b2 = 18 + -18 + 15b + -15b Combine like terms: 18 + -18 = 0 -18 + -15b + 25b2 = 0 + 15b + -15b -18 + -15b + 25b2 = 15b + -15b Combine like terms: 15b + -15b = 0 -18 + -15b + 25b2 = 0 Factor a trinomial. (-3 + -5b)(6 + -5b) = 0Subproblem 1
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 = -0.6Subproblem 2
Set the factor '(6 + -5b)' equal to zero and attempt to solve: Simplifying 6 + -5b = 0 Solving 6 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5b = 0 + -6 -5b = 0 + -6 Combine like terms: 0 + -6 = -6 -5b = -6 Divide each side by '-5'. b = 1.2 Simplifying b = 1.2Solution
b = {-0.6, 1.2}
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