3x^2-11x-20x=0

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Solution for 3x^2-11x-20x=0 equation: 


Simplifying
3x2 + -11x + -20x = 0

Reorder the terms:
-11x + -20x + 3x2 = 0

Combine like terms: -11x + -20x = -31x
-31x + 3x2 = 0

Solving
-31x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-31 + 3x) = 0


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 '(-31 + 3x)' equal to zero and attempt to solve:

Simplifying
-31 + 3x = 0

Solving
-31 + 3x = 0

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

Add '31' to each side of the equation.
-31 + 31 + 3x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 3x = 0 + 31
3x = 0 + 31

Combine like terms: 0 + 31 = 31
3x = 31

Divide each side by '3'.
x = 10.33333333

Simplifying
x = 10.33333333
Solution
x = {0, 10.33333333}

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