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Simplifying t2 + 12tp + 36p2 = 0 Reorder the terms: 12pt + 36p2 + t2 = 0 Solving 12pt + 36p2 + t2 = 0 Solving for variable 'p'. Factor a trinomial. (6p + t)(6p + t) = 0Subproblem 1
Set the factor '(6p + t)' equal to zero and attempt to solve: Simplifying 6p + t = 0 Solving 6p + t = 0 Move all terms containing p to the left, all other terms to the right. Add '-1t' to each side of the equation. 6p + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 6p + 0 = 0 + -1t 6p = 0 + -1t Remove the zero: 6p = -1t Divide each side by '6'. p = -0.1666666667t Simplifying p = -0.1666666667tSubproblem 2
Set the factor '(6p + t)' equal to zero and attempt to solve: Simplifying 6p + t = 0 Solving 6p + t = 0 Move all terms containing p to the left, all other terms to the right. Add '-1t' to each side of the equation. 6p + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 6p + 0 = 0 + -1t 6p = 0 + -1t Remove the zero: 6p = -1t Divide each side by '6'. p = -0.1666666667t Simplifying p = -0.1666666667tSolution
p = {-0.1666666667t, -0.1666666667t}
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