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Simplifying 4b(3b + -2) = 0 Reorder the terms: 4b(-2 + 3b) = 0 (-2 * 4b + 3b * 4b) = 0 (-8b + 12b2) = 0 Solving -8b + 12b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(-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 = 0.6666666667Solution
b = {0, 0.6666666667}
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