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Simplifying (2b + -5)(7b + 5) = 0 Reorder the terms: (-5 + 2b)(7b + 5) = 0 Reorder the terms: (-5 + 2b)(5 + 7b) = 0 Multiply (-5 + 2b) * (5 + 7b) (-5(5 + 7b) + 2b * (5 + 7b)) = 0 ((5 * -5 + 7b * -5) + 2b * (5 + 7b)) = 0 ((-25 + -35b) + 2b * (5 + 7b)) = 0 (-25 + -35b + (5 * 2b + 7b * 2b)) = 0 (-25 + -35b + (10b + 14b2)) = 0 Combine like terms: -35b + 10b = -25b (-25 + -25b + 14b2) = 0 Solving -25 + -25b + 14b2 = 0 Solving for variable 'b'. Factor a trinomial. (-5 + -7b)(5 + -2b) = 0Subproblem 1
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 = -0.7142857143Subproblem 2
Set the factor '(5 + -2b)' equal to zero and attempt to solve: Simplifying 5 + -2b = 0 Solving 5 + -2b = 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 + -2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2b = 0 + -5 -2b = 0 + -5 Combine like terms: 0 + -5 = -5 -2b = -5 Divide each side by '-2'. b = 2.5 Simplifying b = 2.5Solution
b = {-0.7142857143, 2.5}
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