0=4t^2-32t

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Solution for 0=4t^2-32t equation:


Simplifying
0 = 4t2 + -32t

Reorder the terms:
0 = -32t + 4t2

Solving
0 = -32t + 4t2

Solving for variable 't'.
Remove the zero:
32t + -4t2 = -32t + 4t2 + 32t + -4t2

Reorder the terms:
32t + -4t2 = -32t + 32t + 4t2 + -4t2

Combine like terms: -32t + 32t = 0
32t + -4t2 = 0 + 4t2 + -4t2
32t + -4t2 = 4t2 + -4t2

Combine like terms: 4t2 + -4t2 = 0
32t + -4t2 = 0

Factor out the Greatest Common Factor (GCF), '4t'.
4t(8 + -1t) = 0

Ignore the factor 4.

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 '(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 = {0, 8}

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