40=-16t^2+46+6

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Solution for 40=-16t^2+46+6 equation: 


Simplifying
40 = -16t2 + 46 + 6

Reorder the terms:
40 = 46 + 6 + -16t2

Combine like terms: 46 + 6 = 52
40 = 52 + -16t2

Solving
40 = 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.
40 + 16t2 = 52 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
40 + 16t2 = 52 + 0
40 + 16t2 = 52

Add '-40' to each side of the equation.
40 + -40 + 16t2 = 52 + -40

Combine like terms: 40 + -40 = 0
0 + 16t2 = 52 + -40
16t2 = 52 + -40

Combine like terms: 52 + -40 = 12
16t2 = 12

Divide each side by '16'.
t2 = 0.75

Simplifying
t2 = 0.75

Take the square root of each side:
t = {-0.866025404, 0.866025404}

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