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Simplifying 7b2 + -64b + 64 = 0 Reorder the terms: 64 + -64b + 7b2 = 0 Solving 64 + -64b + 7b2 = 0 Solving for variable 'b'. Factor a trinomial. (8 + -7b)(8 + -1b) = 0Subproblem 1
Set the factor '(8 + -7b)' equal to zero and attempt to solve: Simplifying 8 + -7b = 0 Solving 8 + -7b = 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 + -7b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7b = 0 + -8 -7b = 0 + -8 Combine like terms: 0 + -8 = -8 -7b = -8 Divide each side by '-7'. b = 1.142857143 Simplifying b = 1.142857143Subproblem 2
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 = 8Solution
b = {1.142857143, 8}
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