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Simplifying 25b2 + -25b = 12 + -5b Reorder the terms: -25b + 25b2 = 12 + -5b Solving -25b + 25b2 = 12 + -5b Solving for variable 'b'. Reorder the terms: -12 + -25b + 5b + 25b2 = 12 + -5b + -12 + 5b Combine like terms: -25b + 5b = -20b -12 + -20b + 25b2 = 12 + -5b + -12 + 5b Reorder the terms: -12 + -20b + 25b2 = 12 + -12 + -5b + 5b Combine like terms: 12 + -12 = 0 -12 + -20b + 25b2 = 0 + -5b + 5b -12 + -20b + 25b2 = -5b + 5b Combine like terms: -5b + 5b = 0 -12 + -20b + 25b2 = 0 Factor a trinomial. (-2 + -5b)(6 + -5b) = 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 '(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 = {-0.4, 1.2}
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