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Simplifying 10b2 = 64 + 72b Solving 10b2 = 64 + 72b Solving for variable 'b'. Reorder the terms: -64 + -72b + 10b2 = 64 + 72b + -64 + -72b Reorder the terms: -64 + -72b + 10b2 = 64 + -64 + 72b + -72b Combine like terms: 64 + -64 = 0 -64 + -72b + 10b2 = 0 + 72b + -72b -64 + -72b + 10b2 = 72b + -72b Combine like terms: 72b + -72b = 0 -64 + -72b + 10b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-32 + -36b + 5b2) = 0 Factor a trinomial. 2((-4 + -5b)(8 + -1b)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.8Subproblem 2
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 = 8Solution
b = {-0.8, 8}
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