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Simplifying
(9t + -4)(-9t + -4) = 0
Reorder the terms:
(-4 + 9t)(-9t + -4) = 0
Reorder the terms:
(-4 + 9t)(-4 + -9t) = 0
Multiply (-4 + 9t) * (-4 + -9t)
(-4(-4 + -9t) + 9t * (-4 + -9t)) = 0
((-4 * -4 + -9t * -4) + 9t * (-4 + -9t)) = 0
((16 + 36t) + 9t * (-4 + -9t)) = 0
(16 + 36t + (-4 * 9t + -9t * 9t)) = 0
(16 + 36t + (-36t + -81t2)) = 0
Combine like terms: 36t + -36t = 0
(16 + 0 + -81t2) = 0
(16 + -81t2) = 0
Solving
16 + -81t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + -81t2 = 0 + -16
Combine like terms: 16 + -16 = 0
0 + -81t2 = 0 + -16
-81t2 = 0 + -16
Combine like terms: 0 + -16 = -16
-81t2 = -16
Divide each side by '-81'.
t2 = 0.1975308642
Simplifying
t2 = 0.1975308642
Take the square root of each side:
t = {-0.444444444, 0.444444444}
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