(t+3)(t+8)=t(t-5)+168

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Solution for (t+3)(t+8)=t(t-5)+168 equation: 


Simplifying
(t + 3)(t + 8) = t(t + -5) + 168

Reorder the terms:
(3 + t)(t + 8) = t(t + -5) + 168

Reorder the terms:
(3 + t)(8 + t) = t(t + -5) + 168

Multiply (3 + t) * (8 + t)
(3(8 + t) + t(8 + t)) = t(t + -5) + 168
((8 * 3 + t * 3) + t(8 + t)) = t(t + -5) + 168
((24 + 3t) + t(8 + t)) = t(t + -5) + 168
(24 + 3t + (8 * t + t * t)) = t(t + -5) + 168
(24 + 3t + (8t + t2)) = t(t + -5) + 168

Combine like terms: 3t + 8t = 11t
(24 + 11t + t2) = t(t + -5) + 168

Reorder the terms:
24 + 11t + t2 = t(-5 + t) + 168
24 + 11t + t2 = (-5 * t + t * t) + 168
24 + 11t + t2 = (-5t + t2) + 168

Reorder the terms:
24 + 11t + t2 = 168 + -5t + t2

Add '-1t2' to each side of the equation.
24 + 11t + t2 + -1t2 = 168 + -5t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
24 + 11t + 0 = 168 + -5t + t2 + -1t2
24 + 11t = 168 + -5t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
24 + 11t = 168 + -5t + 0
24 + 11t = 168 + -5t

Solving
24 + 11t = 168 + -5t

Solving for variable 't'.

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

Add '5t' to each side of the equation.
24 + 11t + 5t = 168 + -5t + 5t

Combine like terms: 11t + 5t = 16t
24 + 16t = 168 + -5t + 5t

Combine like terms: -5t + 5t = 0
24 + 16t = 168 + 0
24 + 16t = 168

Add '-24' to each side of the equation.
24 + -24 + 16t = 168 + -24

Combine like terms: 24 + -24 = 0
0 + 16t = 168 + -24
16t = 168 + -24

Combine like terms: 168 + -24 = 144
16t = 144

Divide each side by '16'.
t = 9

Simplifying
t = 9

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