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Simplifying 49b2 + -40 = -21b Reorder the terms: -40 + 49b2 = -21b Solving -40 + 49b2 = -21b Solving for variable 'b'. Reorder the terms: -40 + 21b + 49b2 = -21b + 21b Combine like terms: -21b + 21b = 0 -40 + 21b + 49b2 = 0 Factor a trinomial. (-8 + -7b)(5 + -7b) = 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 '(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 = {-1.142857143, 0.7142857143}
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