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Simplifying 55b2 + -355b + -210 = 0 Reorder the terms: -210 + -355b + 55b2 = 0 Solving -210 + -355b + 55b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(-42 + -71b + 11b2) = 0 Factor a trinomial. 5((-6 + -11b)(7 + -1b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + -11b)' equal to zero and attempt to solve: Simplifying -6 + -11b = 0 Solving -6 + -11b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -11b = 0 + 6 -11b = 0 + 6 Combine like terms: 0 + 6 = 6 -11b = 6 Divide each side by '-11'. b = -0.5454545455 Simplifying b = -0.5454545455Subproblem 2
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 = 7Solution
b = {-0.5454545455, 7}
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