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Simplifying
(9t + -6)(9t + 6) = 0
Reorder the terms:
(-6 + 9t)(9t + 6) = 0
Reorder the terms:
(-6 + 9t)(6 + 9t) = 0
Multiply (-6 + 9t) * (6 + 9t)
(-6(6 + 9t) + 9t * (6 + 9t)) = 0
((6 * -6 + 9t * -6) + 9t * (6 + 9t)) = 0
((-36 + -54t) + 9t * (6 + 9t)) = 0
(-36 + -54t + (6 * 9t + 9t * 9t)) = 0
(-36 + -54t + (54t + 81t2)) = 0
Combine like terms: -54t + 54t = 0
(-36 + 0 + 81t2) = 0
(-36 + 81t2) = 0
Solving
-36 + 81t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '36' to each side of the equation.
-36 + 36 + 81t2 = 0 + 36
Combine like terms: -36 + 36 = 0
0 + 81t2 = 0 + 36
81t2 = 0 + 36
Combine like terms: 0 + 36 = 36
81t2 = 36
Divide each side by '81'.
t2 = 0.4444444444
Simplifying
t2 = 0.4444444444
Take the square root of each side:
t = {-0.666666667, 0.666666667}
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