0=t^2-22t

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Solution for 0=t^2-22t equation:


Simplifying
0 = t2 + -22t

Reorder the terms:
0 = -22t + t2

Solving
0 = -22t + t2

Solving for variable 't'.
Remove the zero:
22t + -1t2 = -22t + t2 + 22t + -1t2

Reorder the terms:
22t + -1t2 = -22t + 22t + t2 + -1t2

Combine like terms: -22t + 22t = 0
22t + -1t2 = 0 + t2 + -1t2
22t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
22t + -1t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(22 + -1t) = 0

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 '(22 + -1t)' equal to zero and attempt to solve: Simplifying 22 + -1t = 0 Solving 22 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1t = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1t = 0 + -22 -1t = 0 + -22 Combine like terms: 0 + -22 = -22 -1t = -22 Divide each side by '-1'. t = 22 Simplifying t = 22

Solution

t = {0, 22}

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