(11t+7)(4t-12)=0

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Solution for (11t+7)(4t-12)=0 equation: 


Simplifying
(11t + 7)(4t + -12) = 0

Reorder the terms:
(7 + 11t)(4t + -12) = 0

Reorder the terms:
(7 + 11t)(-12 + 4t) = 0

Multiply (7 + 11t) * (-12 + 4t)
(7(-12 + 4t) + 11t * (-12 + 4t)) = 0
((-12 * 7 + 4t * 7) + 11t * (-12 + 4t)) = 0
((-84 + 28t) + 11t * (-12 + 4t)) = 0
(-84 + 28t + (-12 * 11t + 4t * 11t)) = 0
(-84 + 28t + (-132t + 44t2)) = 0

Combine like terms: 28t + -132t = -104t
(-84 + -104t + 44t2) = 0

Solving
-84 + -104t + 44t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-21 + -26t + 11t2) = 0

Factor a trinomial.
4((-7 + -11t)(3 + -1t)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + -11t)' equal to zero and attempt to solve:

Simplifying
-7 + -11t = 0

Solving
-7 + -11t = 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 + -11t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -11t = 0 + 7
-11t = 0 + 7

Combine like terms: 0 + 7 = 7
-11t = 7

Divide each side by '-11'.
t = -0.6363636364

Simplifying
t = -0.6363636364

Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {-0.6363636364, 3}

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