25=8t(-2t+5)

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Solution for 25=8t(-2t+5) equation:


Simplifying
25 = 8t(-2t + 5)

Reorder the terms:
25 = 8t(5 + -2t)
25 = (5 * 8t + -2t * 8t)
25 = (40t + -16t2)

Solving
25 = 40t + -16t2

Solving for variable 't'.

Reorder the terms:
25 + -40t + 16t2 = 40t + -40t + -16t2 + 16t2

Combine like terms: 40t + -40t = 0
25 + -40t + 16t2 = 0 + -16t2 + 16t2
25 + -40t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
25 + -40t + 16t2 = 0

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

Subproblem 1

Set the factor '(5 + -4t)' equal to zero and attempt to solve: Simplifying 5 + -4t = 0 Solving 5 + -4t = 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 + -4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 0 + -5 -4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25

Subproblem 2

Set the factor '(5 + -4t)' equal to zero and attempt to solve: Simplifying 5 + -4t = 0 Solving 5 + -4t = 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 + -4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 0 + -5 -4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25

Solution

t = {1.25, 1.25}

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