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Simplifying 7b2 = -55b + 8 Reorder the terms: 7b2 = 8 + -55b Solving 7b2 = 8 + -55b Solving for variable 'b'. Reorder the terms: -8 + 55b + 7b2 = 8 + -55b + -8 + 55b Reorder the terms: -8 + 55b + 7b2 = 8 + -8 + -55b + 55b Combine like terms: 8 + -8 = 0 -8 + 55b + 7b2 = 0 + -55b + 55b -8 + 55b + 7b2 = -55b + 55b Combine like terms: -55b + 55b = 0 -8 + 55b + 7b2 = 0 Factor a trinomial. (-8 + -1b)(1 + -7b) = 0Subproblem 1
Set the factor '(-8 + -1b)' equal to zero and attempt to solve: Simplifying -8 + -1b = 0 Solving -8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = 0 + 8 -1b = 0 + 8 Combine like terms: 0 + 8 = 8 -1b = 8 Divide each side by '-1'. b = -8 Simplifying b = -8Subproblem 2
Set the factor '(1 + -7b)' equal to zero and attempt to solve: Simplifying 1 + -7b = 0 Solving 1 + -7b = 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 + -7b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7b = 0 + -1 -7b = 0 + -1 Combine like terms: 0 + -1 = -1 -7b = -1 Divide each side by '-7'. b = 0.1428571429 Simplifying b = 0.1428571429Solution
b = {-8, 0.1428571429}
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