474=2t^2+42

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Solution for 474=2t^2+42 equation:


Simplifying
474 = 2t2 + 42

Reorder the terms:
474 = 42 + 2t2

Solving
474 = 42 + 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.
474 + -2t2 = 42 + 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
474 + -2t2 = 42 + 0
474 + -2t2 = 42

Add '-474' to each side of the equation.
474 + -474 + -2t2 = 42 + -474

Combine like terms: 474 + -474 = 0
0 + -2t2 = 42 + -474
-2t2 = 42 + -474

Combine like terms: 42 + -474 = -432
-2t2 = -432

Divide each side by '-2'.
t2 = 216

Simplifying
t2 = 216

Take the square root of each side:
t = {-14.696938457, 14.696938457}

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