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Simplifying 63b2 = 31b + 10 Reorder the terms: 63b2 = 10 + 31b Solving 63b2 = 10 + 31b Solving for variable 'b'. Reorder the terms: -10 + -31b + 63b2 = 10 + 31b + -10 + -31b Reorder the terms: -10 + -31b + 63b2 = 10 + -10 + 31b + -31b Combine like terms: 10 + -10 = 0 -10 + -31b + 63b2 = 0 + 31b + -31b -10 + -31b + 63b2 = 31b + -31b Combine like terms: 31b + -31b = 0 -10 + -31b + 63b2 = 0 Factor a trinomial. (-2 + -9b)(5 + -7b) = 0Subproblem 1
Set the factor '(-2 + -9b)' equal to zero and attempt to solve: Simplifying -2 + -9b = 0 Solving -2 + -9b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -9b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9b = 0 + 2 -9b = 0 + 2 Combine like terms: 0 + 2 = 2 -9b = 2 Divide each side by '-9'. b = -0.2222222222 Simplifying b = -0.2222222222Subproblem 2
Set the factor '(5 + -7b)' equal to zero and attempt to solve: Simplifying 5 + -7b = 0 Solving 5 + -7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7b = 0 + -5 -7b = 0 + -5 Combine like terms: 0 + -5 = -5 -7b = -5 Divide each side by '-7'. b = 0.7142857143 Simplifying b = 0.7142857143Solution
b = {-0.2222222222, 0.7142857143}
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