-20t^2+125t=0

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Solution for -20t^2+125t=0 equation:


Simplifying
-20t2 + 125t = 0

Reorder the terms:
125t + -20t2 = 0

Solving
125t + -20t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5t'.
5t(25 + -4t) = 0

Ignore the factor 5.

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 + -4t)' equal to zero and attempt to solve: Simplifying 25 + -4t = 0 Solving 25 + -4t = 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 + -4t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4t = 0 + -25 -4t = 0 + -25 Combine like terms: 0 + -25 = -25 -4t = -25 Divide each side by '-4'. t = 6.25 Simplifying t = 6.25

Solution

t = {0, 6.25}

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