-16t^2-60t+1000=900

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Solution for -16t^2-60t+1000=900 equation:


Simplifying
-16t2 + -60t + 1000 = 900

Reorder the terms:
1000 + -60t + -16t2 = 900

Solving
1000 + -60t + -16t2 = 900

Solving for variable 't'.

Reorder the terms:
1000 + -900 + -60t + -16t2 = 900 + -900

Combine like terms: 1000 + -900 = 100
100 + -60t + -16t2 = 900 + -900

Combine like terms: 900 + -900 = 0
100 + -60t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(25 + -15t + -4t2) = 0

Factor a trinomial.
4((5 + -4t)(5 + t)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(5 + -4t)' equal to zero and attempt to solve: Simplifying 5 + -4t = 0 Solving 5 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 0 + -5 -4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25

Subproblem 2

Set the factor '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Simplifying t = -5

Solution

t = {1.25, -5}

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