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Simplifying 8b3 = 98b Solving 8b3 = 98b Solving for variable 'b'. Reorder the terms: -98b + 8b3 = 98b + -98b Combine like terms: 98b + -98b = 0 -98b + 8b3 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(-49 + 4b2) = 0 Factor a difference between two squares. 2b((7 + 2b)(-7 + 2b)) = 0 Ignore the factor 2.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 '(7 + 2b)' equal to zero and attempt to solve: Simplifying 7 + 2b = 0 Solving 7 + 2b = 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 + 2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2b = 0 + -7 2b = 0 + -7 Combine like terms: 0 + -7 = -7 2b = -7 Divide each side by '2'. b = -3.5 Simplifying b = -3.5Subproblem 3
Set the factor '(-7 + 2b)' equal to zero and attempt to solve: Simplifying -7 + 2b = 0 Solving -7 + 2b = 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 + 2b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2b = 0 + 7 2b = 0 + 7 Combine like terms: 0 + 7 = 7 2b = 7 Divide each side by '2'. b = 3.5 Simplifying b = 3.5Solution
b = {0, -3.5, 3.5}
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