-t^2+15t+250=0

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Solution for -t^2+15t+250=0 equation:


Simplifying
-1t2 + 15t + 250 = 0

Reorder the terms:
250 + 15t + -1t2 = 0

Solving
250 + 15t + -1t2 = 0

Solving for variable 't'.

Factor a trinomial.
(25 + -1t)(10 + t) = 0

Subproblem 1

Set the factor '(25 + -1t)' equal to zero and attempt to solve: Simplifying 25 + -1t = 0 Solving 25 + -1t = 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 + -1t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1t = 0 + -25 -1t = 0 + -25 Combine like terms: 0 + -25 = -25 -1t = -25 Divide each side by '-1'. t = 25 Simplifying t = 25

Subproblem 2

Set the factor '(10 + t)' equal to zero and attempt to solve: Simplifying 10 + t = 0 Solving 10 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + t = 0 + -10 t = 0 + -10 Combine like terms: 0 + -10 = -10 t = -10 Simplifying t = -10

Solution

t = {25, -10}

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