-5t^2+100t-480=0

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Solution for -5t^2+100t-480=0 equation:


Simplifying
-5t2 + 100t + -480 = 0

Reorder the terms:
-480 + 100t + -5t2 = 0

Solving
-480 + 100t + -5t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-96 + 20t + -1t2) = 0

Factor a trinomial.
5((-12 + t)(8 + -1t)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-12 + t)' equal to zero and attempt to solve: Simplifying -12 + t = 0 Solving -12 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + t = 0 + 12 t = 0 + 12 Combine like terms: 0 + 12 = 12 t = 12 Simplifying t = 12

Subproblem 2

Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8

Solution

t = {12, 8}

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