Solve for t d=vt+at^2

Math
d=vt+at2
Rewrite the equation as vt+at2=d.
vt+at2=d
Move d to the left side of the equation by subtracting it from both sides.
vt+at2-d=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=a, b=v, and c=-d into the quadratic formula and solve for t.
-v±v2-4⋅(a⋅(-d))2a
Simplify the numerator.
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Rewrite using the commutative property of multiplication.
t=-v±v2-4⋅(-ad)2a
Multiply -1 by -4.
t=-v±v2+4ad2a
t=-v±v2+4ad2a
The final answer is the combination of both solutions.
t=-v-v2+4ad2a
t=-v+v2+4ad2a
Solve for t d=vt+at^2

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