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Simplifying 8b2 + -280 = 16b Reorder the terms: -280 + 8b2 = 16b Solving -280 + 8b2 = 16b Solving for variable 'b'. Reorder the terms: -280 + -16b + 8b2 = 16b + -16b Combine like terms: 16b + -16b = 0 -280 + -16b + 8b2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-35 + -2b + b2) = 0 Factor a trinomial. 8((-5 + -1b)(7 + -1b)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-5 + -1b)' equal to zero and attempt to solve: Simplifying -5 + -1b = 0 Solving -5 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1b = 0 + 5 -1b = 0 + 5 Combine like terms: 0 + 5 = 5 -1b = 5 Divide each side by '-1'. b = -5 Simplifying b = -5Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 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 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7Solution
b = {-5, 7}
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