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Simplifying 35b2 + -16b + -64 = 0 Reorder the terms: -64 + -16b + 35b2 = 0 Solving -64 + -16b + 35b2 = 0 Solving for variable 'b'. Factor a trinomial. (-8 + -7b)(8 + -5b) = 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 + -5b)' equal to zero and attempt to solve: Simplifying 8 + -5b = 0 Solving 8 + -5b = 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 + -5b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5b = 0 + -8 -5b = 0 + -8 Combine like terms: 0 + -8 = -8 -5b = -8 Divide each side by '-5'. b = 1.6 Simplifying b = 1.6Solution
b = {-1.142857143, 1.6}
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