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Simplifying 5b3 + 34b2 = 7b Reorder the terms: 34b2 + 5b3 = 7b Solving 34b2 + 5b3 = 7b Solving for variable 'b'. Reorder the terms: -7b + 34b2 + 5b3 = 7b + -7b Combine like terms: 7b + -7b = 0 -7b + 34b2 + 5b3 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-7 + 34b + 5b2) = 0 Factor a trinomial. b((-7 + -1b)(1 + -5b)) = 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 '(-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 = -7Subproblem 3
Set the factor '(1 + -5b)' equal to zero and attempt to solve: Simplifying 1 + -5b = 0 Solving 1 + -5b = 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 + -5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5b = 0 + -1 -5b = 0 + -1 Combine like terms: 0 + -1 = -1 -5b = -1 Divide each side by '-5'. b = 0.2 Simplifying b = 0.2Solution
b = {0, -7, 0.2}
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