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Simplifying 164b2 + -340b = -4b2 Reorder the terms: -340b + 164b2 = -4b2 Solving -340b + 164b2 = -4b2 Solving for variable 'b'. Combine like terms: 164b2 + 4b2 = 168b2 -340b + 168b2 = -4b2 + 4b2 Combine like terms: -4b2 + 4b2 = 0 -340b + 168b2 = 0 Factor out the Greatest Common Factor (GCF), '4b'. 4b(-85 + 42b) = 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 '(-85 + 42b)' equal to zero and attempt to solve: Simplifying -85 + 42b = 0 Solving -85 + 42b = 0 Move all terms containing b to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 42b = 0 + 85 Combine like terms: -85 + 85 = 0 0 + 42b = 0 + 85 42b = 0 + 85 Combine like terms: 0 + 85 = 85 42b = 85 Divide each side by '42'. b = 2.023809524 Simplifying b = 2.023809524Solution
b = {0, 2.023809524}
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