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Simplifying b4 + -3b3 = 10b2 Reorder the terms: -3b3 + b4 = 10b2 Solving -3b3 + b4 = 10b2 Solving for variable 'b'. Reorder the terms: -10b2 + -3b3 + b4 = 10b2 + -10b2 Combine like terms: 10b2 + -10b2 = 0 -10b2 + -3b3 + b4 = 0 Factor out the Greatest Common Factor (GCF), 'b2'. b2(-10 + -3b + b2) = 0 Factor a trinomial. b2((-2 + -1b)(5 + -1b)) = 0Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 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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