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Simplifying 4s2 + 28sp + 49p2 = 0 Reorder the terms: 28ps + 49p2 + 4s2 = 0 Solving 28ps + 49p2 + 4s2 = 0 Solving for variable 'p'. Factor a trinomial. (7p + 2s)(7p + 2s) = 0Subproblem 1
Set the factor '(7p + 2s)' equal to zero and attempt to solve: Simplifying 7p + 2s = 0 Solving 7p + 2s = 0 Move all terms containing p to the left, all other terms to the right. Add '-2s' to each side of the equation. 7p + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 7p + 0 = 0 + -2s 7p = 0 + -2s Remove the zero: 7p = -2s Divide each side by '7'. p = -0.2857142857s Simplifying p = -0.2857142857sSubproblem 2
Set the factor '(7p + 2s)' equal to zero and attempt to solve: Simplifying 7p + 2s = 0 Solving 7p + 2s = 0 Move all terms containing p to the left, all other terms to the right. Add '-2s' to each side of the equation. 7p + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 7p + 0 = 0 + -2s 7p = 0 + -2s Remove the zero: 7p = -2s Divide each side by '7'. p = -0.2857142857s Simplifying p = -0.2857142857sSolution
p = {-0.2857142857s, -0.2857142857s}
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