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Simplifying 2b3 + 5b2 = 12b Reorder the terms: 5b2 + 2b3 = 12b Solving 5b2 + 2b3 = 12b Solving for variable 'b'. Reorder the terms: -12b + 5b2 + 2b3 = 12b + -12b Combine like terms: 12b + -12b = 0 -12b + 5b2 + 2b3 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-12 + 5b + 2b2) = 0 Factor a trinomial. b((-4 + -1b)(3 + -2b)) = 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 + -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 = 1.5Solution
b = {0, -4, 1.5}
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