(4t+16)(5t-21)=

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Solution for (4t+16)(5t-21)= equation: 


Simplifying
(4t + 16)(5t + -21) = 0

Reorder the terms:
(16 + 4t)(5t + -21) = 0

Reorder the terms:
(16 + 4t)(-21 + 5t) = 0

Multiply (16 + 4t) * (-21 + 5t)
(16(-21 + 5t) + 4t * (-21 + 5t)) = 0
((-21 * 16 + 5t * 16) + 4t * (-21 + 5t)) = 0
((-336 + 80t) + 4t * (-21 + 5t)) = 0
(-336 + 80t + (-21 * 4t + 5t * 4t)) = 0
(-336 + 80t + (-84t + 20t2)) = 0

Combine like terms: 80t + -84t = -4t
(-336 + -4t + 20t2) = 0

Solving
-336 + -4t + 20t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-84 + -1t + 5t2) = 0

Factor a trinomial.
4((-4 + -1t)(21 + -5t)) = 0

Ignore the factor 4.

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 '(21 + -5t)' equal to zero and attempt to solve:

Simplifying
21 + -5t = 0

Solving
21 + -5t = 0

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

Add '-21' to each side of the equation.
21 + -21 + -5t = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -5t = 0 + -21
-5t = 0 + -21

Combine like terms: 0 + -21 = -21
-5t = -21

Divide each side by '-5'.
t = 4.2

Simplifying
t = 4.2
Solution
t = {-4, 4.2}

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