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Simplifying 21b2 + -12b + 14b + -8 = 0 Reorder the terms: -8 + -12b + 14b + 21b2 = 0 Combine like terms: -12b + 14b = 2b -8 + 2b + 21b2 = 0 Solving -8 + 2b + 21b2 = 0 Solving for variable 'b'. Factor a trinomial. (-2 + -3b)(4 + -7b) = 0Subproblem 1
Set the factor '(-2 + -3b)' equal to zero and attempt to solve: Simplifying -2 + -3b = 0 Solving -2 + -3b = 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 + -3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = 0 + 2 -3b = 0 + 2 Combine like terms: 0 + 2 = 2 -3b = 2 Divide each side by '-3'. b = -0.6666666667 Simplifying b = -0.6666666667Subproblem 2
Set the factor '(4 + -7b)' equal to zero and attempt to solve: Simplifying 4 + -7b = 0 Solving 4 + -7b = 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 + -7b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7b = 0 + -4 -7b = 0 + -4 Combine like terms: 0 + -4 = -4 -7b = -4 Divide each side by '-7'. b = 0.5714285714 Simplifying b = 0.5714285714Solution
b = {-0.6666666667, 0.5714285714}
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