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Simplifying
476 = 4t2 + -8
Reorder the terms:
476 = -8 + 4t2
Solving
476 = -8 + 4t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-4t2' to each side of the equation.
476 + -4t2 = -8 + 4t2 + -4t2
Combine like terms: 4t2 + -4t2 = 0
476 + -4t2 = -8 + 0
476 + -4t2 = -8
Add '-476' to each side of the equation.
476 + -476 + -4t2 = -8 + -476
Combine like terms: 476 + -476 = 0
0 + -4t2 = -8 + -476
-4t2 = -8 + -476
Combine like terms: -8 + -476 = -484
-4t2 = -484
Divide each side by '-4'.
t2 = 121
Simplifying
t2 = 121
Take the square root of each side:
t = {-11, 11}
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