(t+4)(5t-4)=0

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Solution for (t+4)(5t-4)=0 equation: 


Simplifying
(t + 4)(5t + -4) = 0

Reorder the terms:
(4 + t)(5t + -4) = 0

Reorder the terms:
(4 + t)(-4 + 5t) = 0

Multiply (4 + t) * (-4 + 5t)
(4(-4 + 5t) + t(-4 + 5t)) = 0
((-4 * 4 + 5t * 4) + t(-4 + 5t)) = 0
((-16 + 20t) + t(-4 + 5t)) = 0
(-16 + 20t + (-4 * t + 5t * t)) = 0
(-16 + 20t + (-4t + 5t2)) = 0

Combine like terms: 20t + -4t = 16t
(-16 + 16t + 5t2) = 0

Solving
-16 + 16t + 5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-4 + -1t)(4 + -5t) = 0


Subproblem 1
Set the factor '(-4 + -1t)' equal to zero and attempt to solve:

Simplifying
-4 + -1t = 0

Solving
-4 + -1t = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1t = 0 + 4
-1t = 0 + 4

Combine like terms: 0 + 4 = 4
-1t = 4

Divide each side by '-1'.
t = -4

Simplifying
t = -4

Subproblem 2
Set the factor '(4 + -5t)' equal to zero and attempt to solve:

Simplifying
4 + -5t = 0

Solving
4 + -5t = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5t = 0 + -4
-5t = 0 + -4

Combine like terms: 0 + -4 = -4
-5t = -4

Divide each side by '-5'.
t = 0.8

Simplifying
t = 0.8
Solution
t = {-4, 0.8}

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