(8t-9)(t-8)=0

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Solution for (8t-9)(t-8)=0 equation: 


Simplifying
(8t + -9)(t + -8) = 0

Reorder the terms:
(-9 + 8t)(t + -8) = 0

Reorder the terms:
(-9 + 8t)(-8 + t) = 0

Multiply (-9 + 8t) * (-8 + t)
(-9(-8 + t) + 8t * (-8 + t)) = 0
((-8 * -9 + t * -9) + 8t * (-8 + t)) = 0
((72 + -9t) + 8t * (-8 + t)) = 0
(72 + -9t + (-8 * 8t + t * 8t)) = 0
(72 + -9t + (-64t + 8t2)) = 0

Combine like terms: -9t + -64t = -73t
(72 + -73t + 8t2) = 0

Solving
72 + -73t + 8t2 = 0

Solving for variable 't'.

Factor a trinomial.
(9 + -8t)(8 + -1t) = 0


Subproblem 1
Set the factor '(9 + -8t)' equal to zero and attempt to solve:

Simplifying
9 + -8t = 0

Solving
9 + -8t = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8t = 0 + -9
-8t = 0 + -9

Combine like terms: 0 + -9 = -9
-8t = -9

Divide each side by '-8'.
t = 1.125

Simplifying
t = 1.125

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 = {1.125, 8}

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