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Simplifying 4B3 + -12B2 + -40B = 0 Reorder the terms: -40B + -12B2 + 4B3 = 0 Solving -40B + -12B2 + 4B3 = 0 Solving for variable 'B'. Factor out the Greatest Common Factor (GCF), '4B'. 4B(-10 + -3B + B2) = 0 Factor a trinomial. 4B((-2 + -1B)(5 + -1B)) = 0 Ignore the factor 4.Subproblem 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 '(-2 + -1B)' equal to zero and attempt to solve: Simplifying -2 + -1B = 0 Solving -2 + -1B = 0 Move all terms containing B to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1B = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1B = 0 + 2 -1B = 0 + 2 Combine like terms: 0 + 2 = 2 -1B = 2 Divide each side by '-1'. B = -2 Simplifying B = -2Subproblem 3
Set the factor '(5 + -1B)' equal to zero and attempt to solve: Simplifying 5 + -1B = 0 Solving 5 + -1B = 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 + -1B = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1B = 0 + -5 -1B = 0 + -5 Combine like terms: 0 + -5 = -5 -1B = -5 Divide each side by '-1'. B = 5 Simplifying B = 5Solution
B = {0, -2, 5}
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