(8t-7)(3t-5)=0

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Solution for (8t-7)(3t-5)=0 equation: 


Simplifying
(8t + -7)(3t + -5) = 0

Reorder the terms:
(-7 + 8t)(3t + -5) = 0

Reorder the terms:
(-7 + 8t)(-5 + 3t) = 0

Multiply (-7 + 8t) * (-5 + 3t)
(-7(-5 + 3t) + 8t * (-5 + 3t)) = 0
((-5 * -7 + 3t * -7) + 8t * (-5 + 3t)) = 0
((35 + -21t) + 8t * (-5 + 3t)) = 0
(35 + -21t + (-5 * 8t + 3t * 8t)) = 0
(35 + -21t + (-40t + 24t2)) = 0

Combine like terms: -21t + -40t = -61t
(35 + -61t + 24t2) = 0

Solving
35 + -61t + 24t2 = 0

Solving for variable 't'.

Factor a trinomial.
(7 + -8t)(5 + -3t) = 0


Subproblem 1
Set the factor '(7 + -8t)' equal to zero and attempt to solve:

Simplifying
7 + -8t = 0

Solving
7 + -8t = 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 + -8t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8t = 0 + -7
-8t = 0 + -7

Combine like terms: 0 + -7 = -7
-8t = -7

Divide each side by '-8'.
t = 0.875

Simplifying
t = 0.875

Subproblem 2
Set the factor '(5 + -3t)' equal to zero and attempt to solve:

Simplifying
5 + -3t = 0

Solving
5 + -3t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3t = 0 + -5
-3t = 0 + -5

Combine like terms: 0 + -5 = -5
-3t = -5

Divide each side by '-3'.
t = 1.666666667

Simplifying
t = 1.666666667
Solution
t = {0.875, 1.666666667}

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