96+80t+-16t^2=96

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Solution for 96+80t+-16t^2=96 equation:


Simplifying
96 + 80t + -16t2 = 96

Add '-96' to each side of the equation.
96 + 80t + -96 + -16t2 = 96 + -96

Reorder the terms:
96 + -96 + 80t + -16t2 = 96 + -96

Combine like terms: 96 + -96 = 0
0 + 80t + -16t2 = 96 + -96
80t + -16t2 = 96 + -96

Combine like terms: 96 + -96 = 0
80t + -16t2 = 0

Solving
80t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16t'.
16t(5 + -1t) = 0

Ignore the factor 16.

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

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 = {0, 5}

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