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Simplifying 49b2 + -112bp + 64p2 = 0 Reorder the terms: -112bp + 49b2 + 64p2 = 0 Solving -112bp + 49b2 + 64p2 = 0 Solving for variable 'b'. Factor a trinomial. (7b + -8p)(7b + -8p) = 0Subproblem 1
Set the factor '(7b + -8p)' equal to zero and attempt to solve: Simplifying 7b + -8p = 0 Solving 7b + -8p = 0 Move all terms containing b to the left, all other terms to the right. Add '8p' to each side of the equation. 7b + -8p + 8p = 0 + 8p Combine like terms: -8p + 8p = 0 7b + 0 = 0 + 8p 7b = 0 + 8p Remove the zero: 7b = 8p Divide each side by '7'. b = 1.142857143p Simplifying b = 1.142857143pSubproblem 2
Set the factor '(7b + -8p)' equal to zero and attempt to solve: Simplifying 7b + -8p = 0 Solving 7b + -8p = 0 Move all terms containing b to the left, all other terms to the right. Add '8p' to each side of the equation. 7b + -8p + 8p = 0 + 8p Combine like terms: -8p + 8p = 0 7b + 0 = 0 + 8p 7b = 0 + 8p Remove the zero: 7b = 8p Divide each side by '7'. b = 1.142857143p Simplifying b = 1.142857143pSolution
b = {1.142857143p, 1.142857143p}
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