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Simplifying 5b2 = 36b + 32 Reorder the terms: 5b2 = 32 + 36b Solving 5b2 = 32 + 36b Solving for variable 'b'. Reorder the terms: -32 + -36b + 5b2 = 32 + 36b + -32 + -36b Reorder the terms: -32 + -36b + 5b2 = 32 + -32 + 36b + -36b Combine like terms: 32 + -32 = 0 -32 + -36b + 5b2 = 0 + 36b + -36b -32 + -36b + 5b2 = 36b + -36b Combine like terms: 36b + -36b = 0 -32 + -36b + 5b2 = 0 Factor a trinomial. (-4 + -5b)(8 + -1b) = 0Subproblem 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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