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Simplifying 14b2 + -19b + 4 = -11b2 + 11b + -5 Reorder the terms: 4 + -19b + 14b2 = -11b2 + 11b + -5 Reorder the terms: 4 + -19b + 14b2 = -5 + 11b + -11b2 Solving 4 + -19b + 14b2 = -5 + 11b + -11b2 Solving for variable 'b'. Reorder the terms: 4 + 5 + -19b + -11b + 14b2 + 11b2 = -5 + 11b + -11b2 + 5 + -11b + 11b2 Combine like terms: 4 + 5 = 9 9 + -19b + -11b + 14b2 + 11b2 = -5 + 11b + -11b2 + 5 + -11b + 11b2 Combine like terms: -19b + -11b = -30b 9 + -30b + 14b2 + 11b2 = -5 + 11b + -11b2 + 5 + -11b + 11b2 Combine like terms: 14b2 + 11b2 = 25b2 9 + -30b + 25b2 = -5 + 11b + -11b2 + 5 + -11b + 11b2 Reorder the terms: 9 + -30b + 25b2 = -5 + 5 + 11b + -11b + -11b2 + 11b2 Combine like terms: -5 + 5 = 0 9 + -30b + 25b2 = 0 + 11b + -11b + -11b2 + 11b2 9 + -30b + 25b2 = 11b + -11b + -11b2 + 11b2 Combine like terms: 11b + -11b = 0 9 + -30b + 25b2 = 0 + -11b2 + 11b2 9 + -30b + 25b2 = -11b2 + 11b2 Combine like terms: -11b2 + 11b2 = 0 9 + -30b + 25b2 = 0 Factor a trinomial. (3 + -5b)(3 + -5b) = 0Subproblem 1
Set the factor '(3 + -5b)' equal to zero and attempt to solve: Simplifying 3 + -5b = 0 Solving 3 + -5b = 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 + -5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = 0 + -3 -5b = 0 + -3 Combine like terms: 0 + -3 = -3 -5b = -3 Divide each side by '-5'. b = 0.6 Simplifying b = 0.6Subproblem 2
Set the factor '(3 + -5b)' equal to zero and attempt to solve: Simplifying 3 + -5b = 0 Solving 3 + -5b = 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 + -5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = 0 + -3 -5b = 0 + -3 Combine like terms: 0 + -3 = -3 -5b = -3 Divide each side by '-5'. b = 0.6 Simplifying b = 0.6Solution
b = {0.6, 0.6}
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