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Simplifying 0 = 6b2 + -28b2 + 30b Reorder the terms: 0 = 30b + 6b2 + -28b2 Combine like terms: 6b2 + -28b2 = -22b2 0 = 30b + -22b2 Solving 0 = 30b + -22b2 Solving for variable 'b'. Remove the zero: -30b + 22b2 = 30b + -22b2 + -30b + 22b2 Reorder the terms: -30b + 22b2 = 30b + -30b + -22b2 + 22b2 Combine like terms: 30b + -30b = 0 -30b + 22b2 = 0 + -22b2 + 22b2 -30b + 22b2 = -22b2 + 22b2 Combine like terms: -22b2 + 22b2 = 0 -30b + 22b2 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(-15 + 11b) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-15 + 11b)' equal to zero and attempt to solve: Simplifying -15 + 11b = 0 Solving -15 + 11b = 0 Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 11b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 11b = 0 + 15 11b = 0 + 15 Combine like terms: 0 + 15 = 15 11b = 15 Divide each side by '11'. b = 1.363636364 Simplifying b = 1.363636364Solution
b = {0, 1.363636364}
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