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Simplifying 5b2 = -2b + 7 Reorder the terms: 5b2 = 7 + -2b Solving 5b2 = 7 + -2b Solving for variable 'b'. Reorder the terms: -7 + 2b + 5b2 = 7 + -2b + -7 + 2b Reorder the terms: -7 + 2b + 5b2 = 7 + -7 + -2b + 2b Combine like terms: 7 + -7 = 0 -7 + 2b + 5b2 = 0 + -2b + 2b -7 + 2b + 5b2 = -2b + 2b Combine like terms: -2b + 2b = 0 -7 + 2b + 5b2 = 0 Factor a trinomial. (-7 + -5b)(1 + -1b) = 0Subproblem 1
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 = -1.4Subproblem 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 = {-1.4, 1}
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