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Simplifying 14b2 + -4b = 2b Reorder the terms: -4b + 14b2 = 2b Solving -4b + 14b2 = 2b Solving for variable 'b'. Reorder the terms: -4b + -2b + 14b2 = 2b + -2b Combine like terms: -4b + -2b = -6b -6b + 14b2 = 2b + -2b Combine like terms: 2b + -2b = 0 -6b + 14b2 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(-3 + 7b) = 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 '(-3 + 7b)' equal to zero and attempt to solve: Simplifying -3 + 7b = 0 Solving -3 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7b = 0 + 3 7b = 0 + 3 Combine like terms: 0 + 3 = 3 7b = 3 Divide each side by '7'. b = 0.4285714286 Simplifying b = 0.4285714286Solution
b = {0, 0.4285714286}
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