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Simplifying
(4t + -9)(4t + 9) = 0
Reorder the terms:
(-9 + 4t)(4t + 9) = 0
Reorder the terms:
(-9 + 4t)(9 + 4t) = 0
Multiply (-9 + 4t) * (9 + 4t)
(-9(9 + 4t) + 4t * (9 + 4t)) = 0
((9 * -9 + 4t * -9) + 4t * (9 + 4t)) = 0
((-81 + -36t) + 4t * (9 + 4t)) = 0
(-81 + -36t + (9 * 4t + 4t * 4t)) = 0
(-81 + -36t + (36t + 16t2)) = 0
Combine like terms: -36t + 36t = 0
(-81 + 0 + 16t2) = 0
(-81 + 16t2) = 0
Solving
-81 + 16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '81' to each side of the equation.
-81 + 81 + 16t2 = 0 + 81
Combine like terms: -81 + 81 = 0
0 + 16t2 = 0 + 81
16t2 = 0 + 81
Combine like terms: 0 + 81 = 81
16t2 = 81
Divide each side by '16'.
t2 = 5.0625
Simplifying
t2 = 5.0625
Take the square root of each side:
t = {-2.25, 2.25}
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