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Simplifying 8b2(2b + 5) + -2b2 = 0 Reorder the terms: 8b2(5 + 2b) + -2b2 = 0 (5 * 8b2 + 2b * 8b2) + -2b2 = 0 (40b2 + 16b3) + -2b2 = 0 Reorder the terms: 40b2 + -2b2 + 16b3 = 0 Combine like terms: 40b2 + -2b2 = 38b2 38b2 + 16b3 = 0 Solving 38b2 + 16b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b2'. 2b2(19 + 8b) = 0 Ignore the factor 2.Subproblem 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 '(19 + 8b)' equal to zero and attempt to solve: Simplifying 19 + 8b = 0 Solving 19 + 8b = 0 Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 8b = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8b = 0 + -19 8b = 0 + -19 Combine like terms: 0 + -19 = -19 8b = -19 Divide each side by '8'. b = -2.375 Simplifying b = -2.375Solution
b = {0, -2.375}
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