40(t)=-16(t^2)+40t+10

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Solution for 40(t)=-16(t^2)+40t+10 equation: 


Simplifying
40(t) = -16(t2) + 40t + 10

Reorder the terms:
40t = 10 + 40t + -16t2

Add '-40t' to each side of the equation.
40t + -40t = 10 + 40t + -40t + -16t2

Combine like terms: 40t + -40t = 0
0 = 10 + 40t + -40t + -16t2

Combine like terms: 40t + -40t = 0
0 = 10 + 0 + -16t2
0 = 10 + -16t2

Solving
0 = 10 + -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.
0 + 16t2 = 10 + -16t2 + 16t2
Remove the zero:
16t2 = 10 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
16t2 = 10 + 0
16t2 = 10

Divide each side by '16'.
t2 = 0.625

Simplifying
t2 = 0.625

Take the square root of each side:
t = {-0.790569415, 0.790569415}

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