0=-1t(16t+25)

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Solution for 0=-1t(16t+25) equation:


Simplifying
0 = -1t(16t + 25)

Reorder the terms:
0 = -1t(25 + 16t)
0 = (25 * -1t + 16t * -1t)
0 = (-25t + -16t2)

Solving
0 = -25t + -16t2

Solving for variable 't'.
Remove the zero:
25t + 16t2 = -25t + -16t2 + 25t + 16t2

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

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

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

Factor out the Greatest Common Factor (GCF), 't'.
t(25 + 16t) = 0

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(25 + 16t)' equal to zero and attempt to solve: Simplifying 25 + 16t = 0 Solving 25 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 16t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 16t = 0 + -25 16t = 0 + -25 Combine like terms: 0 + -25 = -25 16t = -25 Divide each side by '16'. t = -1.5625 Simplifying t = -1.5625

Solution

t = {0, -1.5625}

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