5t^2-16=16t

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Solution for 5t^2-16=16t equation:


Simplifying
5t2 + -16 = 16t

Reorder the terms:
-16 + 5t2 = 16t

Solving
-16 + 5t2 = 16t

Solving for variable 't'.

Reorder the terms:
-16 + -16t + 5t2 = 16t + -16t

Combine like terms: 16t + -16t = 0
-16 + -16t + 5t2 = 0

Factor a trinomial.
(-4 + -5t)(4 + -1t) = 0

Subproblem 1

Set the factor '(-4 + -5t)' equal to zero and attempt to solve: Simplifying -4 + -5t = 0 Solving -4 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5t = 0 + 4 -5t = 0 + 4 Combine like terms: 0 + 4 = 4 -5t = 4 Divide each side by '-5'. t = -0.8 Simplifying t = -0.8

Subproblem 2

Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4

Solution

t = {-0.8, 4}

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