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Simplifying 60b2 + -65b + -175 = 0 Reorder the terms: -175 + -65b + 60b2 = 0 Solving -175 + -65b + 60b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(-35 + -13b + 12b2) = 0 Factor a trinomial. 5((-5 + -4b)(7 + -3b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + -4b)' equal to zero and attempt to solve: Simplifying -5 + -4b = 0 Solving -5 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4b = 0 + 5 -4b = 0 + 5 Combine like terms: 0 + 5 = 5 -4b = 5 Divide each side by '-4'. b = -1.25 Simplifying b = -1.25Subproblem 2
Set the factor '(7 + -3b)' equal to zero and attempt to solve: Simplifying 7 + -3b = 0 Solving 7 + -3b = 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 + -3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3b = 0 + -7 -3b = 0 + -7 Combine like terms: 0 + -7 = -7 -3b = -7 Divide each side by '-3'. b = 2.333333333 Simplifying b = 2.333333333Solution
b = {-1.25, 2.333333333}
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