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Simplifying 14b2 + -32b + -30 = 0 Reorder the terms: -30 + -32b + 14b2 = 0 Solving -30 + -32b + 14b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + -16b + 7b2) = 0 Factor a trinomial. 2((-5 + -7b)(3 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -7b)' equal to zero and attempt to solve: Simplifying -5 + -7b = 0 Solving -5 + -7b = 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 + -7b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7b = 0 + 5 -7b = 0 + 5 Combine like terms: 0 + 5 = 5 -7b = 5 Divide each side by '-7'. b = -0.7142857143 Simplifying b = -0.7142857143Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve: Simplifying 3 + -1b = 0 Solving 3 + -1b = 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 + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 0 + -3 -1b = 0 + -3 Combine like terms: 0 + -3 = -3 -1b = -3 Divide each side by '-1'. b = 3 Simplifying b = 3Solution
b = {-0.7142857143, 3}
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