7t^2-62tp+48p^2=0

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Solution for 7t^2-62tp+48p^2=0 equation:


Simplifying
7t2 + -62tp + 48p2 = 0

Reorder the terms:
-62pt + 48p2 + 7t2 = 0

Solving
-62pt + 48p2 + 7t2 = 0

Solving for variable 'p'.

Factor a trinomial.
(6p + -7t)(8p + -1t) = 0

Subproblem 1

Set the factor '(6p + -7t)' equal to zero and attempt to solve: Simplifying 6p + -7t = 0 Solving 6p + -7t = 0 Move all terms containing p to the left, all other terms to the right. Add '7t' to each side of the equation. 6p + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 6p + 0 = 0 + 7t 6p = 0 + 7t Remove the zero: 6p = 7t Divide each side by '6'. p = 1.166666667t Simplifying p = 1.166666667t

Subproblem 2

Set the factor '(8p + -1t)' equal to zero and attempt to solve: Simplifying 8p + -1t = 0 Solving 8p + -1t = 0 Move all terms containing p to the left, all other terms to the right. Add 't' to each side of the equation. 8p + -1t + t = 0 + t Combine like terms: -1t + t = 0 8p + 0 = 0 + t 8p = 0 + t Remove the zero: 8p = t Divide each side by '8'. p = 0.125t Simplifying p = 0.125t

Solution

p = {1.166666667t, 0.125t}

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