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Simplifying 4s2 + 12sp + 9p2 = 0 Reorder the terms: 12ps + 9p2 + 4s2 = 0 Solving 12ps + 9p2 + 4s2 = 0 Solving for variable 'p'. Factor a trinomial. (3p + 2s)(3p + 2s) = 0Subproblem 1
Set the factor '(3p + 2s)' equal to zero and attempt to solve: Simplifying 3p + 2s = 0 Solving 3p + 2s = 0 Move all terms containing p to the left, all other terms to the right. Add '-2s' to each side of the equation. 3p + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 3p + 0 = 0 + -2s 3p = 0 + -2s Remove the zero: 3p = -2s Divide each side by '3'. p = -0.6666666667s Simplifying p = -0.6666666667sSubproblem 2
Set the factor '(3p + 2s)' equal to zero and attempt to solve: Simplifying 3p + 2s = 0 Solving 3p + 2s = 0 Move all terms containing p to the left, all other terms to the right. Add '-2s' to each side of the equation. 3p + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 3p + 0 = 0 + -2s 3p = 0 + -2s Remove the zero: 3p = -2s Divide each side by '3'. p = -0.6666666667s Simplifying p = -0.6666666667sSolution
p = {-0.6666666667s, -0.6666666667s}
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