360=-16t^2+8t+720

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Solution for 360=-16t^2+8t+720 equation:


Simplifying
360 = -16t2 + 8t + 720

Reorder the terms:
360 = 720 + 8t + -16t2

Solving
360 = 720 + 8t + -16t2

Solving for variable 't'.

Combine like terms: 360 + -720 = -360
-360 + -8t + 16t2 = 720 + 8t + -16t2 + -720 + -8t + 16t2

Reorder the terms:
-360 + -8t + 16t2 = 720 + -720 + 8t + -8t + -16t2 + 16t2

Combine like terms: 720 + -720 = 0
-360 + -8t + 16t2 = 0 + 8t + -8t + -16t2 + 16t2
-360 + -8t + 16t2 = 8t + -8t + -16t2 + 16t2

Combine like terms: 8t + -8t = 0
-360 + -8t + 16t2 = 0 + -16t2 + 16t2
-360 + -8t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-360 + -8t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-45 + -1t + 2t2) = 0

Factor a trinomial.
8((-9 + -2t)(5 + -1t)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-9 + -2t)' equal to zero and attempt to solve: Simplifying -9 + -2t = 0 Solving -9 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2t = 0 + 9 -2t = 0 + 9 Combine like terms: 0 + 9 = 9 -2t = 9 Divide each side by '-2'. t = -4.5 Simplifying t = -4.5

Subproblem 2

Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 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 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5

Solution

t = {-4.5, 5}

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