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Simplifying 6b3 + -18b2 + -780b = 0 Reorder the terms: -780b + -18b2 + 6b3 = 0 Solving -780b + -18b2 + 6b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6b'. 6b(-130 + -3b + b2) = 0 Factor a trinomial. 6b((-10 + -1b)(13 + -1b)) = 0 Ignore the factor 6.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 '(-10 + -1b)' equal to zero and attempt to solve: Simplifying -10 + -1b = 0 Solving -10 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1b = 0 + 10 -1b = 0 + 10 Combine like terms: 0 + 10 = 10 -1b = 10 Divide each side by '-1'. b = -10 Simplifying b = -10Subproblem 3
Set the factor '(13 + -1b)' equal to zero and attempt to solve: Simplifying 13 + -1b = 0 Solving 13 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1b = 0 + -13 -1b = 0 + -13 Combine like terms: 0 + -13 = -13 -1b = -13 Divide each side by '-1'. b = 13 Simplifying b = 13Solution
b = {0, -10, 13}
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