6p^2-13pt-28t^2=0

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Solution for 6p^2-13pt-28t^2=0 equation: 


Simplifying
6p2 + -13pt + -28t2 = 0

Reorder the terms:
-13pt + 6p2 + -28t2 = 0

Solving
-13pt + 6p2 + -28t2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2p + -7t)(3p + 4t) = 0


Subproblem 1
Set the factor '(2p + -7t)' equal to zero and attempt to solve:

Simplifying
2p + -7t = 0

Solving
2p + -7t = 0

Move all terms containing p to the left, all other terms to the right.

Add '7t' to each side of the equation.
2p + -7t + 7t = 0 + 7t

Combine like terms: -7t + 7t = 0
2p + 0 = 0 + 7t
2p = 0 + 7t
Remove the zero:
2p = 7t

Divide each side by '2'.
p = 3.5t

Simplifying
p = 3.5t

Subproblem 2
Set the factor '(3p + 4t)' equal to zero and attempt to solve:

Simplifying
3p + 4t = 0

Solving
3p + 4t = 0

Move all terms containing p to the left, all other terms to the right.

Add '-4t' to each side of the equation.
3p + 4t + -4t = 0 + -4t

Combine like terms: 4t + -4t = 0
3p + 0 = 0 + -4t
3p = 0 + -4t
Remove the zero:
3p = -4t

Divide each side by '3'.
p = -1.333333333t

Simplifying
p = -1.333333333t
Solution
p = {3.5t, -1.333333333t}

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