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Simplifying (12b2) + -1(15b3) = 0 Remove parenthesis around (15b3) (12b2) + -1 * 15b3 = 0 Multiply -1 * 15 (12b2) + -15b3 = 0 Solving (12b2) + -15b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b2'. 3b2(4 + -5b) = 0 Ignore the factor 3.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 '(4 + -5b)' equal to zero and attempt to solve: Simplifying 4 + -5b = 0 Solving 4 + -5b = 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 + -5b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5b = 0 + -4 -5b = 0 + -4 Combine like terms: 0 + -4 = -4 -5b = -4 Divide each side by '-5'. b = 0.8 Simplifying b = 0.8Solution
b = {0, 0.8}
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