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Simplifying
(9t + -7)(9t + 7) = 0
Reorder the terms:
(-7 + 9t)(9t + 7) = 0
Reorder the terms:
(-7 + 9t)(7 + 9t) = 0
Multiply (-7 + 9t) * (7 + 9t)
(-7(7 + 9t) + 9t * (7 + 9t)) = 0
((7 * -7 + 9t * -7) + 9t * (7 + 9t)) = 0
((-49 + -63t) + 9t * (7 + 9t)) = 0
(-49 + -63t + (7 * 9t + 9t * 9t)) = 0
(-49 + -63t + (63t + 81t2)) = 0
Combine like terms: -63t + 63t = 0
(-49 + 0 + 81t2) = 0
(-49 + 81t2) = 0
Solving
-49 + 81t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 81t2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 81t2 = 0 + 49
81t2 = 0 + 49
Combine like terms: 0 + 49 = 49
81t2 = 49
Divide each side by '81'.
t2 = 0.6049382716
Simplifying
t2 = 0.6049382716
Take the square root of each side:
t = {-0.777777778, 0.777777778}
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