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Simplifying 16r2 + 56rp + 49p2 = 0 Reorder the terms: 56pr + 49p2 + 16r2 = 0 Solving 56pr + 49p2 + 16r2 = 0 Solving for variable 'p'. Factor a trinomial. (7p + 4r)(7p + 4r) = 0Subproblem 1
Set the factor '(7p + 4r)' equal to zero and attempt to solve: Simplifying 7p + 4r = 0 Solving 7p + 4r = 0 Move all terms containing p to the left, all other terms to the right. Add '-4r' to each side of the equation. 7p + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 7p + 0 = 0 + -4r 7p = 0 + -4r Remove the zero: 7p = -4r Divide each side by '7'. p = -0.5714285714r Simplifying p = -0.5714285714rSubproblem 2
Set the factor '(7p + 4r)' equal to zero and attempt to solve: Simplifying 7p + 4r = 0 Solving 7p + 4r = 0 Move all terms containing p to the left, all other terms to the right. Add '-4r' to each side of the equation. 7p + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 7p + 0 = 0 + -4r 7p = 0 + -4r Remove the zero: 7p = -4r Divide each side by '7'. p = -0.5714285714r Simplifying p = -0.5714285714rSolution
p = {-0.5714285714r, -0.5714285714r}
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