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Simplifying
40 = 5t2
Solving
40 = 5t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-5t2' to each side of the equation.
40 + -5t2 = 5t2 + -5t2
Combine like terms: 5t2 + -5t2 = 0
40 + -5t2 = 0
Add '-40' to each side of the equation.
40 + -40 + -5t2 = 0 + -40
Combine like terms: 40 + -40 = 0
0 + -5t2 = 0 + -40
-5t2 = 0 + -40
Combine like terms: 0 + -40 = -40
-5t2 = -40
Divide each side by '-5'.
t2 = 8
Simplifying
t2 = 8
Take the square root of each side:
t = {-2.828427125, 2.828427125}
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