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Simplifying (5b + -6)(b + -4) = 0 Reorder the terms: (-6 + 5b)(b + -4) = 0 Reorder the terms: (-6 + 5b)(-4 + b) = 0 Multiply (-6 + 5b) * (-4 + b) (-6(-4 + b) + 5b * (-4 + b)) = 0 ((-4 * -6 + b * -6) + 5b * (-4 + b)) = 0 ((24 + -6b) + 5b * (-4 + b)) = 0 (24 + -6b + (-4 * 5b + b * 5b)) = 0 (24 + -6b + (-20b + 5b2)) = 0 Combine like terms: -6b + -20b = -26b (24 + -26b + 5b2) = 0 Solving 24 + -26b + 5b2 = 0 Solving for variable 'b'. Factor a trinomial. (6 + -5b)(4 + -1b) = 0Subproblem 1
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 = 1.2Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 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 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {1.2, 4}
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