(4+6t)(2t-8)=

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Solution for (4+6t)(2t-8)= equation: 


Simplifying
(4 + 6t)(2t + -8) = 0

Reorder the terms:
(4 + 6t)(-8 + 2t) = 0

Multiply (4 + 6t) * (-8 + 2t)
(4(-8 + 2t) + 6t * (-8 + 2t)) = 0
((-8 * 4 + 2t * 4) + 6t * (-8 + 2t)) = 0
((-32 + 8t) + 6t * (-8 + 2t)) = 0
(-32 + 8t + (-8 * 6t + 2t * 6t)) = 0
(-32 + 8t + (-48t + 12t2)) = 0

Combine like terms: 8t + -48t = -40t
(-32 + -40t + 12t2) = 0

Solving
-32 + -40t + 12t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + -10t + 3t2) = 0

Factor a trinomial.
4((-2 + -3t)(4 + -1t)) = 0

Ignore the factor 4.

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

Simplifying
-2 + -3t = 0

Solving
-2 + -3t = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3t = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3t = 0 + 2
-3t = 0 + 2

Combine like terms: 0 + 2 = 2
-3t = 2

Divide each side by '-3'.
t = -0.6666666667

Simplifying
t = -0.6666666667

Subproblem 2
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
Solution
t = {-0.6666666667, 4}

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