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

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


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

Multiply S * t
tS = -16t2 + 10t

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

Solving
tS = 10t + -16t2

Solving for variable 't'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), 't'.
t(-10 + S + 16t) = 0

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(-10 + S + 16t)' equal to zero and attempt to solve: Simplifying -10 + S + 16t = 0 Solving -10 + S + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + S + 10 + 16t = 0 + 10 Reorder the terms: -10 + 10 + S + 16t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + S + 16t = 0 + 10 S + 16t = 0 + 10 Combine like terms: 0 + 10 = 10 S + 16t = 10 Add '-1S' to each side of the equation. S + -1S + 16t = 10 + -1S Combine like terms: S + -1S = 0 0 + 16t = 10 + -1S 16t = 10 + -1S Divide each side by '16'. t = 0.625 + -0.0625S Simplifying t = 0.625 + -0.0625S

Solution

t = {0, 0.625 + -0.0625S}

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