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Simplifying 5b2 + -2b + -7 = 0 Reorder the terms: -7 + -2b + 5b2 = 0 Solving -7 + -2b + 5b2 = 0 Solving for variable 'b'. Factor a trinomial. (-1 + -1b)(7 + -5b) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(7 + -5b)' equal to zero and attempt to solve: Simplifying 7 + -5b = 0 Solving 7 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5b = 0 + -7 -5b = 0 + -7 Combine like terms: 0 + -7 = -7 -5b = -7 Divide each side by '-5'. b = 1.4 Simplifying b = 1.4Solution
b = {-1, 1.4}
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