46=-16t^2+46+6

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Solution for 46=-16t^2+46+6 equation:


Simplifying
46 = -16t2 + 46 + 6

Reorder the terms:
46 = 46 + 6 + -16t2

Combine like terms: 46 + 6 = 52
46 = 52 + -16t2

Solving
46 = 52 + -16t2

Solving for variable 't'.

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

Add '16t2' to each side of the equation.
46 + 16t2 = 52 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
46 + 16t2 = 52 + 0
46 + 16t2 = 52

Add '-46' to each side of the equation.
46 + -46 + 16t2 = 52 + -46

Combine like terms: 46 + -46 = 0
0 + 16t2 = 52 + -46
16t2 = 52 + -46

Combine like terms: 52 + -46 = 6
16t2 = 6

Divide each side by '16'.
t2 = 0.375

Simplifying
t2 = 0.375

Take the square root of each side:
t = {-0.612372436, 0.612372436}

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