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Simplifying 5p2 + 11pt + -12t2 = 0 Reorder the terms: 11pt + 5p2 + -12t2 = 0 Solving 11pt + 5p2 + -12t2 = 0 Solving for variable 'p'. Factor a trinomial. (5p + -4t)(p + 3t) = 0Subproblem 1
Set the factor '(5p + -4t)' equal to zero and attempt to solve: Simplifying 5p + -4t = 0 Solving 5p + -4t = 0 Move all terms containing p to the left, all other terms to the right. Add '4t' to each side of the equation. 5p + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 5p + 0 = 0 + 4t 5p = 0 + 4t Remove the zero: 5p = 4t Divide each side by '5'. p = 0.8t Simplifying p = 0.8tSubproblem 2
Set the factor '(p + 3t)' equal to zero and attempt to solve: Simplifying p + 3t = 0 Solving p + 3t = 0 Move all terms containing p to the left, all other terms to the right. Add '-3t' to each side of the equation. p + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 p + 0 = 0 + -3t p = 0 + -3t Remove the zero: p = -3t Simplifying p = -3tSolution
p = {0.8t, -3t}
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