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Simplifying 14b2 + -50b + -24 = 0 Reorder the terms: -24 + -50b + 14b2 = 0 Solving -24 + -50b + 14b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -25b + 7b2) = 0 Factor a trinomial. 2((-3 + -7b)(4 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -7b)' equal to zero and attempt to solve: Simplifying -3 + -7b = 0 Solving -3 + -7b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7b = 0 + 3 -7b = 0 + 3 Combine like terms: 0 + 3 = 3 -7b = 3 Divide each side by '-7'. b = -0.4285714286 Simplifying b = -0.4285714286Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {-0.4285714286, 4}
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