20000-800t+8t^2=0

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Solution for 20000-800t+8t^2=0 equation:


Simplifying
20000 + -800t + 8t2 = 0

Solving
20000 + -800t + 8t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8'.
8(2500 + -100t + t2) = 0

Factor a trinomial.
8((50 + -1t)(50 + -1t)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(50 + -1t)' equal to zero and attempt to solve: Simplifying 50 + -1t = 0 Solving 50 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1t = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1t = 0 + -50 -1t = 0 + -50 Combine like terms: 0 + -50 = -50 -1t = -50 Divide each side by '-1'. t = 50 Simplifying t = 50

Subproblem 2

Set the factor '(50 + -1t)' equal to zero and attempt to solve: Simplifying 50 + -1t = 0 Solving 50 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1t = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1t = 0 + -50 -1t = 0 + -50 Combine like terms: 0 + -50 = -50 -1t = -50 Divide each side by '-1'. t = 50 Simplifying t = 50

Solution

t = {50, 50}

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