(t+2)(2t-2)=

Solution for (t+2)(2t-2)= equation:

Simplifying
(t + 2)(2t + -2) = 0

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

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

Multiply (2 + t) * (-2 + 2t)
(2(-2 + 2t) + t(-2 + 2t)) = 0
((-2 * 2 + 2t * 2) + t(-2 + 2t)) = 0
((-4 + 4t) + t(-2 + 2t)) = 0
(-4 + 4t + (-2 * t + 2t * t)) = 0
(-4 + 4t + (-2t + 2t2)) = 0

Combine like terms: 4t + -2t = 2t
(-4 + 2t + 2t2) = 0

Solving
-4 + 2t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + t + t2) = 0

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

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

Simplifying
-2 + -1t = 0

Solving
-2 + -1t = 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 + -1t = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1t = 0 + 2
-1t = 0 + 2

Combine like terms: 0 + 2 = 2
-1t = 2

Divide each side by '-1'.
t = -2

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

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

Simplifying
t = 1
Solution
t = {-2, 1}