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Simplifying b(b + -3)(b + 4) = 0 Reorder the terms: b(-3 + b)(b + 4) = 0 Reorder the terms: b(-3 + b)(4 + b) = 0 Multiply (-3 + b) * (4 + b) b(-3(4 + b) + b(4 + b)) = 0 b((4 * -3 + b * -3) + b(4 + b)) = 0 b((-12 + -3b) + b(4 + b)) = 0 b(-12 + -3b + (4 * b + b * b)) = 0 b(-12 + -3b + (4b + b2)) = 0 Combine like terms: -3b + 4b = 1b b(-12 + 1b + b2) = 0 (-12 * b + 1b * b + b2 * b) = 0 (-12b + 1b2 + b3) = 0 Solving -12b + 1b2 + b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-12 + b + b2) = 0 Factor a trinomial. b((-4 + -1b)(3 + -1b)) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 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 = -4Subproblem 3
Set the factor '(3 + -1b)' equal to zero and attempt to solve: Simplifying 3 + -1b = 0 Solving 3 + -1b = 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 + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 0 + -3 -1b = 0 + -3 Combine like terms: 0 + -3 = -3 -1b = -3 Divide each side by '-1'. b = 3 Simplifying b = 3Solution
b = {0, -4, 3}
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