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Simplifying -30b2 + 156b + 378 = 0 Reorder the terms: 378 + 156b + -30b2 = 0 Solving 378 + 156b + -30b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6'. 6(63 + 26b + -5b2) = 0 Factor a trinomial. 6((7 + -1b)(9 + 5b)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(7 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7Subproblem 2
Set the factor '(9 + 5b)' equal to zero and attempt to solve: Simplifying 9 + 5b = 0 Solving 9 + 5b = 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 + 5b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5b = 0 + -9 5b = 0 + -9 Combine like terms: 0 + -9 = -9 5b = -9 Divide each side by '5'. b = -1.8 Simplifying b = -1.8Solution
b = {7, -1.8}
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