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Simplifying 5b2 + 70b + 200 = 0 Reorder the terms: 200 + 70b + 5b2 = 0 Solving 200 + 70b + 5b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(40 + 14b + b2) = 0 Factor a trinomial. 5((10 + b)(4 + b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(10 + b)' equal to zero and attempt to solve: Simplifying 10 + b = 0 Solving 10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + b = 0 + -10 b = 0 + -10 Combine like terms: 0 + -10 = -10 b = -10 Simplifying b = -10Subproblem 2
Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 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 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Solution
b = {-10, -4}
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