(7+4t)(8+t)=

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Solution for (7+4t)(8+t)= equation: 


Simplifying
(7 + 4t)(8 + t) = 0

Multiply (7 + 4t) * (8 + t)
(7(8 + t) + 4t * (8 + t)) = 0
((8 * 7 + t * 7) + 4t * (8 + t)) = 0
((56 + 7t) + 4t * (8 + t)) = 0
(56 + 7t + (8 * 4t + t * 4t)) = 0
(56 + 7t + (32t + 4t2)) = 0

Combine like terms: 7t + 32t = 39t
(56 + 39t + 4t2) = 0

Solving
56 + 39t + 4t2 = 0

Solving for variable 't'.

Factor a trinomial.
(8 + t)(7 + 4t) = 0


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

Simplifying
8 + t = 0

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

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

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

Simplifying
t = -8

Subproblem 2
Set the factor '(7 + 4t)' equal to zero and attempt to solve:

Simplifying
7 + 4t = 0

Solving
7 + 4t = 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 + 4t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4t = 0 + -7
4t = 0 + -7

Combine like terms: 0 + -7 = -7
4t = -7

Divide each side by '4'.
t = -1.75

Simplifying
t = -1.75
Solution
t = {-8, -1.75}

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