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Simplifying 36b3 + -16b = 0 Reorder the terms: -16b + 36b3 = 0 Solving -16b + 36b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(-4 + 9b2) = 0 Factor a difference between two squares. 4b((2 + 3b)(-2 + 3b)) = 0 Ignore the factor 4.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 '(2 + 3b)' equal to zero and attempt to solve: Simplifying 2 + 3b = 0 Solving 2 + 3b = 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 + 3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3b = 0 + -2 3b = 0 + -2 Combine like terms: 0 + -2 = -2 3b = -2 Divide each side by '3'. b = -0.6666666667 Simplifying b = -0.6666666667Subproblem 3
Set the factor '(-2 + 3b)' equal to zero and attempt to solve: Simplifying -2 + 3b = 0 Solving -2 + 3b = 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 + 3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3b = 0 + 2 3b = 0 + 2 Combine like terms: 0 + 2 = 2 3b = 2 Divide each side by '3'. b = 0.6666666667 Simplifying b = 0.6666666667Solution
b = {0, -0.6666666667, 0.6666666667}
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