(11t-30)(5t-21)=

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Solution for (11t-30)(5t-21)= equation: 


Simplifying
(11t + -30)(5t + -21) = 0

Reorder the terms:
(-30 + 11t)(5t + -21) = 0

Reorder the terms:
(-30 + 11t)(-21 + 5t) = 0

Multiply (-30 + 11t) * (-21 + 5t)
(-30(-21 + 5t) + 11t * (-21 + 5t)) = 0
((-21 * -30 + 5t * -30) + 11t * (-21 + 5t)) = 0
((630 + -150t) + 11t * (-21 + 5t)) = 0
(630 + -150t + (-21 * 11t + 5t * 11t)) = 0
(630 + -150t + (-231t + 55t2)) = 0

Combine like terms: -150t + -231t = -381t
(630 + -381t + 55t2) = 0

Solving
630 + -381t + 55t2 = 0

Solving for variable 't'.

Factor a trinomial.
(30 + -11t)(21 + -5t) = 0


Subproblem 1
Set the factor '(30 + -11t)' equal to zero and attempt to solve:

Simplifying
30 + -11t = 0

Solving
30 + -11t = 0

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

Add '-30' to each side of the equation.
30 + -30 + -11t = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -11t = 0 + -30
-11t = 0 + -30

Combine like terms: 0 + -30 = -30
-11t = -30

Divide each side by '-11'.
t = 2.727272727

Simplifying
t = 2.727272727

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 = {2.727272727, 4.2}

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