=60Q-Q^2

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Solution for =60Q-Q^2 equation:


Simplifying
0 = 60Q + -1Q2

Solving
0 = 60Q + -1Q2

Solving for variable 'Q'.
Remove the zero:
-60Q + Q2 = 60Q + -1Q2 + -60Q + Q2

Reorder the terms:
-60Q + Q2 = 60Q + -60Q + -1Q2 + Q2

Combine like terms: 60Q + -60Q = 0
-60Q + Q2 = 0 + -1Q2 + Q2
-60Q + Q2 = -1Q2 + Q2

Combine like terms: -1Q2 + Q2 = 0
-60Q + Q2 = 0

Factor out the Greatest Common Factor (GCF), 'Q'.
Q(-60 + Q) = 0

Subproblem 1

Set the factor 'Q' equal to zero and attempt to solve: Simplifying Q = 0 Solving Q = 0 Move all terms containing Q to the left, all other terms to the right. Simplifying Q = 0

Subproblem 2

Set the factor '(-60 + Q)' equal to zero and attempt to solve: Simplifying -60 + Q = 0 Solving -60 + Q = 0 Move all terms containing Q to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + Q = 0 + 60 Combine like terms: -60 + 60 = 0 0 + Q = 0 + 60 Q = 0 + 60 Combine like terms: 0 + 60 = 60 Q = 60 Simplifying Q = 60

Solution

Q = {0, 60}

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