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Simplifying (3b + -4)(b + -7) = 0 Reorder the terms: (-4 + 3b)(b + -7) = 0 Reorder the terms: (-4 + 3b)(-7 + b) = 0 Multiply (-4 + 3b) * (-7 + b) (-4(-7 + b) + 3b * (-7 + b)) = 0 ((-7 * -4 + b * -4) + 3b * (-7 + b)) = 0 ((28 + -4b) + 3b * (-7 + b)) = 0 (28 + -4b + (-7 * 3b + b * 3b)) = 0 (28 + -4b + (-21b + 3b2)) = 0 Combine like terms: -4b + -21b = -25b (28 + -25b + 3b2) = 0 Solving 28 + -25b + 3b2 = 0 Solving for variable 'b'. Factor a trinomial. (4 + -3b)(7 + -1b) = 0Subproblem 1
Set the factor '(4 + -3b)' equal to zero and attempt to solve: Simplifying 4 + -3b = 0 Solving 4 + -3b = 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 + -3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3b = 0 + -4 -3b = 0 + -4 Combine like terms: 0 + -4 = -4 -3b = -4 Divide each side by '-3'. b = 1.333333333 Simplifying b = 1.333333333Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7Solution
b = {1.333333333, 7}
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