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Simplifying 10b2 = 32 + 32b Solving 10b2 = 32 + 32b Solving for variable 'b'. Reorder the terms: -32 + -32b + 10b2 = 32 + 32b + -32 + -32b Reorder the terms: -32 + -32b + 10b2 = 32 + -32 + 32b + -32b Combine like terms: 32 + -32 = 0 -32 + -32b + 10b2 = 0 + 32b + -32b -32 + -32b + 10b2 = 32b + -32b Combine like terms: 32b + -32b = 0 -32 + -32b + 10b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + -16b + 5b2) = 0 Factor a trinomial. 2((-4 + -5b)(4 + -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 '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 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 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {-0.8, 4}
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