-x^2+980x-3000x=0

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Solution for -x^2+980x-3000x=0 equation: 


Simplifying
-1x2 + 980x + -3000x = 0

Reorder the terms:
980x + -3000x + -1x2 = 0

Combine like terms: 980x + -3000x = -2020x
-2020x + -1x2 = 0

Solving
-2020x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(2020 + x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(2020 + x)' equal to zero and attempt to solve:

Simplifying
2020 + x = 0

Solving
2020 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2020' to each side of the equation.
2020 + -2020 + x = 0 + -2020

Combine like terms: 2020 + -2020 = 0
0 + x = 0 + -2020
x = 0 + -2020

Combine like terms: 0 + -2020 = -2020
x = -2020

Simplifying
x = -2020
Solution
x = {0, -2020}

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