-16t^2+224t+816=0

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Solution for -16t^2+224t+816=0 equation:


Simplifying
-16t2 + 224t + 816 = 0

Reorder the terms:
816 + 224t + -16t2 = 0

Solving
816 + 224t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(51 + 14t + -1t2) = 0

Factor a trinomial.
16((17 + -1t)(3 + t)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(17 + -1t)' equal to zero and attempt to solve: Simplifying 17 + -1t = 0 Solving 17 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1t = 0 + -17 -1t = 0 + -17 Combine like terms: 0 + -17 = -17 -1t = -17 Divide each side by '-1'. t = 17 Simplifying t = 17

Subproblem 2

Set the factor '(3 + t)' equal to zero and attempt to solve: Simplifying 3 + t = 0 Solving 3 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t = 0 + -3 t = 0 + -3 Combine like terms: 0 + -3 = -3 t = -3 Simplifying t = -3

Solution

t = {17, -3}

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