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Simplifying 5b2 + -48 = 8b Reorder the terms: -48 + 5b2 = 8b Solving -48 + 5b2 = 8b Solving for variable 'b'. Reorder the terms: -48 + -8b + 5b2 = 8b + -8b Combine like terms: 8b + -8b = 0 -48 + -8b + 5b2 = 0 Factor a trinomial. (-12 + -5b)(4 + -1b) = 0Subproblem 1
Set the factor '(-12 + -5b)' equal to zero and attempt to solve: Simplifying -12 + -5b = 0 Solving -12 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5b = 0 + 12 -5b = 0 + 12 Combine like terms: 0 + 12 = 12 -5b = 12 Divide each side by '-5'. b = -2.4 Simplifying b = -2.4Subproblem 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 = {-2.4, 4}
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