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Simplifying 33b2 + -42b + -48 = 0 Reorder the terms: -48 + -42b + 33b2 = 0 Solving -48 + -42b + 33b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + -14b + 11b2) = 0 Factor a trinomial. 3((-8 + -11b)(2 + -1b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -11b)' equal to zero and attempt to solve: Simplifying -8 + -11b = 0 Solving -8 + -11b = 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 + -11b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -11b = 0 + 8 -11b = 0 + 8 Combine like terms: 0 + 8 = 8 -11b = 8 Divide each side by '-11'. b = -0.7272727273 Simplifying b = -0.7272727273Subproblem 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 = {-0.7272727273, 2}
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