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Simplifying
(20 + 4t)(20 + -4t) = 0
Multiply (20 + 4t) * (20 + -4t)
(20(20 + -4t) + 4t * (20 + -4t)) = 0
((20 * 20 + -4t * 20) + 4t * (20 + -4t)) = 0
((400 + -80t) + 4t * (20 + -4t)) = 0
(400 + -80t + (20 * 4t + -4t * 4t)) = 0
(400 + -80t + (80t + -16t2)) = 0
Combine like terms: -80t + 80t = 0
(400 + 0 + -16t2) = 0
(400 + -16t2) = 0
Solving
400 + -16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-400' to each side of the equation.
400 + -400 + -16t2 = 0 + -400
Combine like terms: 400 + -400 = 0
0 + -16t2 = 0 + -400
-16t2 = 0 + -400
Combine like terms: 0 + -400 = -400
-16t2 = -400
Divide each side by '-16'.
t2 = 25
Simplifying
t2 = 25
Take the square root of each side:
t = {-5, 5}
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