761=2t^2+75

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Solution for 761=2t^2+75 equation: 


Simplifying
761 = 2t2 + 75

Reorder the terms:
761 = 75 + 2t2

Solving
761 = 75 + 2t2

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-2t2' to each side of the equation.
761 + -2t2 = 75 + 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
761 + -2t2 = 75 + 0
761 + -2t2 = 75

Add '-761' to each side of the equation.
761 + -761 + -2t2 = 75 + -761

Combine like terms: 761 + -761 = 0
0 + -2t2 = 75 + -761
-2t2 = 75 + -761

Combine like terms: 75 + -761 = -686
-2t2 = -686

Divide each side by '-2'.
t2 = 343

Simplifying
t2 = 343

Take the square root of each side:
t = {-18.520259177, 18.520259177}

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