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Simplifying 20sp + 4s2 + 25p2 = 0 Reorder the terms: 20ps + 25p2 + 4s2 = 0 Solving 20ps + 25p2 + 4s2 = 0 Solving for variable 'p'. Factor a trinomial. (5p + 2s)(5p + 2s) = 0Subproblem 1
Set the factor '(5p + 2s)' equal to zero and attempt to solve: Simplifying 5p + 2s = 0 Solving 5p + 2s = 0 Move all terms containing p to the left, all other terms to the right. Add '-2s' to each side of the equation. 5p + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 5p + 0 = 0 + -2s 5p = 0 + -2s Remove the zero: 5p = -2s Divide each side by '5'. p = -0.4s Simplifying p = -0.4sSubproblem 2
Set the factor '(5p + 2s)' equal to zero and attempt to solve: Simplifying 5p + 2s = 0 Solving 5p + 2s = 0 Move all terms containing p to the left, all other terms to the right. Add '-2s' to each side of the equation. 5p + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 5p + 0 = 0 + -2s 5p = 0 + -2s Remove the zero: 5p = -2s Divide each side by '5'. p = -0.4s Simplifying p = -0.4sSolution
p = {-0.4s, -0.4s}
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