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Simplifying 36b2 + -192b + 256 = 0 Reorder the terms: 256 + -192b + 36b2 = 0 Solving 256 + -192b + 36b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4'. 4(64 + -48b + 9b2) = 0 Factor a trinomial. 4((8 + -3b)(8 + -3b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(8 + -3b)' equal to zero and attempt to solve: Simplifying 8 + -3b = 0 Solving 8 + -3b = 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 + -3b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3b = 0 + -8 -3b = 0 + -8 Combine like terms: 0 + -8 = -8 -3b = -8 Divide each side by '-3'. b = 2.666666667 Simplifying b = 2.666666667Subproblem 2
Set the factor '(8 + -3b)' equal to zero and attempt to solve: Simplifying 8 + -3b = 0 Solving 8 + -3b = 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 + -3b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3b = 0 + -8 -3b = 0 + -8 Combine like terms: 0 + -8 = -8 -3b = -8 Divide each side by '-3'. b = 2.666666667 Simplifying b = 2.666666667Solution
b = {2.666666667, 2.666666667}
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