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