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Simplifying
3t2 + 4 + 5t2 + -12 = 0
Reorder the terms:
4 + -12 + 3t2 + 5t2 = 0
Combine like terms: 4 + -12 = -8
-8 + 3t2 + 5t2 = 0
Combine like terms: 3t2 + 5t2 = 8t2
-8 + 8t2 = 0
Solving
-8 + 8t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 8t2 = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 8t2 = 0 + 8
8t2 = 0 + 8
Combine like terms: 0 + 8 = 8
8t2 = 8
Divide each side by '8'.
t2 = 1
Simplifying
t2 = 1
Take the square root of each side:
t = {-1, 1}
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