1125t^2-2250t-9000=0

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Solution for 1125t^2-2250t-9000=0 equation:


Simplifying
1125t2 + -2250t + -9000 = 0

Reorder the terms:
-9000 + -2250t + 1125t2 = 0

Solving
-9000 + -2250t + 1125t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '1125'.
1125(-8 + -2t + t2) = 0

Factor a trinomial.
1125((-2 + -1t)(4 + -1t)) = 0

Ignore the factor 1125.

Subproblem 1

Set the factor '(-2 + -1t)' equal to zero and attempt to solve: Simplifying -2 + -1t = 0 Solving -2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = 0 + 2 -1t = 0 + 2 Combine like terms: 0 + 2 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2

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 = {-2, 4}

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