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Simplifying (-2b + -3)(5b + 5) = 0 Reorder the terms: (-3 + -2b)(5b + 5) = 0 Reorder the terms: (-3 + -2b)(5 + 5b) = 0 Multiply (-3 + -2b) * (5 + 5b) (-3(5 + 5b) + -2b * (5 + 5b)) = 0 ((5 * -3 + 5b * -3) + -2b * (5 + 5b)) = 0 ((-15 + -15b) + -2b * (5 + 5b)) = 0 (-15 + -15b + (5 * -2b + 5b * -2b)) = 0 (-15 + -15b + (-10b + -10b2)) = 0 Combine like terms: -15b + -10b = -25b (-15 + -25b + -10b2) = 0 Solving -15 + -25b + -10b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-5'. -5(3 + 5b + 2b2) = 0 Factor a trinomial. -5((3 + 2b)(1 + b)) = 0 Ignore the factor -5.Subproblem 1
Set the factor '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 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 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Solution
b = {-1.5, -1}
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