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Simplifying (-2b + 5)(-6b + 5) = 0 Reorder the terms: (5 + -2b)(-6b + 5) = 0 Reorder the terms: (5 + -2b)(5 + -6b) = 0 Multiply (5 + -2b) * (5 + -6b) (5(5 + -6b) + -2b * (5 + -6b)) = 0 ((5 * 5 + -6b * 5) + -2b * (5 + -6b)) = 0 ((25 + -30b) + -2b * (5 + -6b)) = 0 (25 + -30b + (5 * -2b + -6b * -2b)) = 0 (25 + -30b + (-10b + 12b2)) = 0 Combine like terms: -30b + -10b = -40b (25 + -40b + 12b2) = 0 Solving 25 + -40b + 12b2 = 0 Solving for variable 'b'. Factor a trinomial. (5 + -6b)(5 + -2b) = 0Subproblem 1
Set the factor '(5 + -6b)' equal to zero and attempt to solve: Simplifying 5 + -6b = 0 Solving 5 + -6b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6b = 0 + -5 -6b = 0 + -5 Combine like terms: 0 + -5 = -5 -6b = -5 Divide each side by '-6'. b = 0.8333333333 Simplifying b = 0.8333333333Subproblem 2
Set the factor '(5 + -2b)' equal to zero and attempt to solve: Simplifying 5 + -2b = 0 Solving 5 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2b = 0 + -5 -2b = 0 + -5 Combine like terms: 0 + -5 = -5 -2b = -5 Divide each side by '-2'. b = 2.5 Simplifying b = 2.5Solution
b = {0.8333333333, 2.5}
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