3=3+14t-5t^2

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Solution for 3=3+14t-5t^2 equation:


Simplifying
3 = 3 + 14t + -5t2

Add '-3' to each side of the equation.
3 + -3 = 3 + 14t + -3 + -5t2

Combine like terms: 3 + -3 = 0
0 = 3 + 14t + -3 + -5t2

Reorder the terms:
0 = 3 + -3 + 14t + -5t2

Combine like terms: 3 + -3 = 0
0 = 0 + 14t + -5t2
0 = 14t + -5t2

Solving
0 = 14t + -5t2

Solving for variable 't'.
Remove the zero:
-14t + 5t2 = 14t + -5t2 + -14t + 5t2

Reorder the terms:
-14t + 5t2 = 14t + -14t + -5t2 + 5t2

Combine like terms: 14t + -14t = 0
-14t + 5t2 = 0 + -5t2 + 5t2
-14t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
-14t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-14 + 5t) = 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 '(-14 + 5t)' equal to zero and attempt to solve: Simplifying -14 + 5t = 0 Solving -14 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 5t = 0 + 14 5t = 0 + 14 Combine like terms: 0 + 14 = 14 5t = 14 Divide each side by '5'. t = 2.8 Simplifying t = 2.8

Solution

t = {0, 2.8}

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