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Simplifying
6 + 5t2 = 7t2
Solving
6 + 5t2 = 7t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-7t2' to each side of the equation.
6 + 5t2 + -7t2 = 7t2 + -7t2
Combine like terms: 5t2 + -7t2 = -2t2
6 + -2t2 = 7t2 + -7t2
Combine like terms: 7t2 + -7t2 = 0
6 + -2t2 = 0
Add '-6' to each side of the equation.
6 + -6 + -2t2 = 0 + -6
Combine like terms: 6 + -6 = 0
0 + -2t2 = 0 + -6
-2t2 = 0 + -6
Combine like terms: 0 + -6 = -6
-2t2 = -6
Divide each side by '-2'.
t2 = 3
Simplifying
t2 = 3
Take the square root of each side:
t = {-1.732050808, 1.732050808}
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