(t-8)(3t-7)=

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Solution for (t-8)(3t-7)= equation: 


Simplifying
(t + -8)(3t + -7) = 0

Reorder the terms:
(-8 + t)(3t + -7) = 0

Reorder the terms:
(-8 + t)(-7 + 3t) = 0

Multiply (-8 + t) * (-7 + 3t)
(-8(-7 + 3t) + t(-7 + 3t)) = 0
((-7 * -8 + 3t * -8) + t(-7 + 3t)) = 0
((56 + -24t) + t(-7 + 3t)) = 0
(56 + -24t + (-7 * t + 3t * t)) = 0
(56 + -24t + (-7t + 3t2)) = 0

Combine like terms: -24t + -7t = -31t
(56 + -31t + 3t2) = 0

Solving
56 + -31t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(7 + -3t)(8 + -1t) = 0


Subproblem 1
Set the factor '(7 + -3t)' equal to zero and attempt to solve:

Simplifying
7 + -3t = 0

Solving
7 + -3t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3t = 0 + -7
-3t = 0 + -7

Combine like terms: 0 + -7 = -7
-3t = -7

Divide each side by '-3'.
t = 2.333333333

Simplifying
t = 2.333333333

Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve:

Simplifying
8 + -1t = 0

Solving
8 + -1t = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 0 + -8
-1t = 0 + -8

Combine like terms: 0 + -8 = -8
-1t = -8

Divide each side by '-1'.
t = 8

Simplifying
t = 8
Solution
t = {2.333333333, 8}

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