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Simplifying 16b2 + -146b + -140 = 0 Reorder the terms: -140 + -146b + 16b2 = 0 Solving -140 + -146b + 16b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-70 + -73b + 8b2) = 0 Factor a trinomial. 2((-7 + -8b)(10 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -8b)' equal to zero and attempt to solve: Simplifying -7 + -8b = 0 Solving -7 + -8b = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8b = 0 + 7 -8b = 0 + 7 Combine like terms: 0 + 7 = 7 -8b = 7 Divide each side by '-8'. b = -0.875 Simplifying b = -0.875Subproblem 2
Set the factor '(10 + -1b)' equal to zero and attempt to solve: Simplifying 10 + -1b = 0 Solving 10 + -1b = 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 + -1b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1b = 0 + -10 -1b = 0 + -10 Combine like terms: 0 + -10 = -10 -1b = -10 Divide each side by '-1'. b = 10 Simplifying b = 10Solution
b = {-0.875, 10}
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