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Simplifying 35b2 + -14b + -112 = 0 Reorder the terms: -112 + -14b + 35b2 = 0 Solving -112 + -14b + 35b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '7'. 7(-16 + -2b + 5b2) = 0 Factor a trinomial. 7((-8 + -5b)(2 + -1b)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-8 + -5b)' equal to zero and attempt to solve: Simplifying -8 + -5b = 0 Solving -8 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5b = 0 + 8 -5b = 0 + 8 Combine like terms: 0 + 8 = 8 -5b = 8 Divide each side by '-5'. b = -1.6 Simplifying b = -1.6Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Solution
b = {-1.6, 2}
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