-16t^2+256t+1680=0

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Solution for -16t^2+256t+1680=0 equation:


Simplifying
-16t2 + 256t + 1680 = 0

Reorder the terms:
1680 + 256t + -16t2 = 0

Solving
1680 + 256t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(105 + 16t + -1t2) = 0

Factor a trinomial.
16((21 + -1t)(5 + t)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(21 + -1t)' equal to zero and attempt to solve: Simplifying 21 + -1t = 0 Solving 21 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1t = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1t = 0 + -21 -1t = 0 + -21 Combine like terms: 0 + -21 = -21 -1t = -21 Divide each side by '-1'. t = 21 Simplifying t = 21

Subproblem 2

Set the factor '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Simplifying t = -5

Solution

t = {21, -5}

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