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Simplifying 25s2 + 80sp + 64p2 = 0 Reorder the terms: 80ps + 64p2 + 25s2 = 0 Solving 80ps + 64p2 + 25s2 = 0 Solving for variable 'p'. Factor a trinomial. (8p + 5s)(8p + 5s) = 0Subproblem 1
Set the factor '(8p + 5s)' equal to zero and attempt to solve: Simplifying 8p + 5s = 0 Solving 8p + 5s = 0 Move all terms containing p to the left, all other terms to the right. Add '-5s' to each side of the equation. 8p + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 8p + 0 = 0 + -5s 8p = 0 + -5s Remove the zero: 8p = -5s Divide each side by '8'. p = -0.625s Simplifying p = -0.625sSubproblem 2
Set the factor '(8p + 5s)' equal to zero and attempt to solve: Simplifying 8p + 5s = 0 Solving 8p + 5s = 0 Move all terms containing p to the left, all other terms to the right. Add '-5s' to each side of the equation. 8p + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 8p + 0 = 0 + -5s 8p = 0 + -5s Remove the zero: 8p = -5s Divide each side by '8'. p = -0.625s Simplifying p = -0.625sSolution
p = {-0.625s, -0.625s}
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