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Simplifying p2 + 70pt + 1225t2 = 0 Reorder the terms: 70pt + p2 + 1225t2 = 0 Solving 70pt + p2 + 1225t2 = 0 Solving for variable 'p'. Factor a trinomial. (p + 35t)(p + 35t) = 0Subproblem 1
Set the factor '(p + 35t)' equal to zero and attempt to solve: Simplifying p + 35t = 0 Solving p + 35t = 0 Move all terms containing p to the left, all other terms to the right. Add '-35t' to each side of the equation. p + 35t + -35t = 0 + -35t Combine like terms: 35t + -35t = 0 p + 0 = 0 + -35t p = 0 + -35t Remove the zero: p = -35t Simplifying p = -35tSubproblem 2
Set the factor '(p + 35t)' equal to zero and attempt to solve: Simplifying p + 35t = 0 Solving p + 35t = 0 Move all terms containing p to the left, all other terms to the right. Add '-35t' to each side of the equation. p + 35t + -35t = 0 + -35t Combine like terms: 35t + -35t = 0 p + 0 = 0 + -35t p = 0 + -35t Remove the zero: p = -35t Simplifying p = -35tSolution
p = {-35t, -35t}
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