-t^2+20t+100=100

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Solution for -t^2+20t+100=100 equation:


Simplifying
-1t2 + 20t + 100 = 100

Reorder the terms:
100 + 20t + -1t2 = 100

Add '-100' to each side of the equation.
100 + 20t + -100 + -1t2 = 100 + -100

Reorder the terms:
100 + -100 + 20t + -1t2 = 100 + -100

Combine like terms: 100 + -100 = 0
0 + 20t + -1t2 = 100 + -100
20t + -1t2 = 100 + -100

Combine like terms: 100 + -100 = 0
20t + -1t2 = 0

Solving
20t + -1t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(20 + -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 '(20 + -1t)' equal to zero and attempt to solve: Simplifying 20 + -1t = 0 Solving 20 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1t = 0 + -20 -1t = 0 + -20 Combine like terms: 0 + -20 = -20 -1t = -20 Divide each side by '-1'. t = 20 Simplifying t = 20

Solution

t = {0, 20}

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