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Simplifying -1b2 + -1b + -6 = -2 + -6b2 Reorder the terms: -6 + -1b + -1b2 = -2 + -6b2 Solving -6 + -1b + -1b2 = -2 + -6b2 Solving for variable 'b'. Reorder the terms: -6 + 2 + -1b + -1b2 + 6b2 = -2 + -6b2 + 2 + 6b2 Combine like terms: -6 + 2 = -4 -4 + -1b + -1b2 + 6b2 = -2 + -6b2 + 2 + 6b2 Combine like terms: -1b2 + 6b2 = 5b2 -4 + -1b + 5b2 = -2 + -6b2 + 2 + 6b2 Reorder the terms: -4 + -1b + 5b2 = -2 + 2 + -6b2 + 6b2 Combine like terms: -2 + 2 = 0 -4 + -1b + 5b2 = 0 + -6b2 + 6b2 -4 + -1b + 5b2 = -6b2 + 6b2 Combine like terms: -6b2 + 6b2 = 0 -4 + -1b + 5b2 = 0 Factor a trinomial. (-4 + -5b)(1 + -1b) = 0Subproblem 1
Set the factor '(-4 + -5b)' equal to zero and attempt to solve: Simplifying -4 + -5b = 0 Solving -4 + -5b = 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 + -5b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5b = 0 + 4 -5b = 0 + 4 Combine like terms: 0 + 4 = 4 -5b = 4 Divide each side by '-5'. b = -0.8 Simplifying b = -0.8Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1Solution
b = {-0.8, 1}
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