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Simplifying -10b2 + 64 + 72b = 0 Reorder the terms: 64 + 72b + -10b2 = 0 Solving 64 + 72b + -10b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(32 + 36b + -5b2) = 0 Factor a trinomial. 2((8 + -1b)(4 + 5b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Subproblem 2
Set the factor '(4 + 5b)' equal to zero and attempt to solve: Simplifying 4 + 5b = 0 Solving 4 + 5b = 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 + 5b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5b = 0 + -4 5b = 0 + -4 Combine like terms: 0 + -4 = -4 5b = -4 Divide each side by '5'. b = -0.8 Simplifying b = -0.8Solution
b = {8, -0.8}
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