16t*t+25t-356=0

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Solution for 16t*t+25t-356=0 equation:


Simplifying
16t * t + 25t + -356 = 0

Multiply t * t
16t2 + 25t + -356 = 0

Reorder the terms:
-356 + 25t + 16t2 = 0

Solving
-356 + 25t + 16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-89 + -16t)(4 + -1t) = 0

Subproblem 1

Set the factor '(-89 + -16t)' equal to zero and attempt to solve: Simplifying -89 + -16t = 0 Solving -89 + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + -16t = 0 + 89 Combine like terms: -89 + 89 = 0 0 + -16t = 0 + 89 -16t = 0 + 89 Combine like terms: 0 + 89 = 89 -16t = 89 Divide each side by '-16'. t = -5.5625 Simplifying t = -5.5625

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 = {-5.5625, 4}

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