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Simplifying 8b2 + 2b = 36 Reorder the terms: 2b + 8b2 = 36 Solving 2b + 8b2 = 36 Solving for variable 'b'. Reorder the terms: -36 + 2b + 8b2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 2b + 8b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + b + 4b2) = 0 Factor a trinomial. 2((-9 + -4b)(2 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -4b)' equal to zero and attempt to solve: Simplifying -9 + -4b = 0 Solving -9 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4b = 0 + 9 -4b = 0 + 9 Combine like terms: 0 + 9 = 9 -4b = 9 Divide each side by '-4'. b = -2.25 Simplifying b = -2.25Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Solution
b = {-2.25, 2}
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