(x*x)+6x-2x=0

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Solution for (x*x)+6x-2x=0 equation: 


Simplifying
(x * x) + 6x + -2x = 0

Multiply x * x
(x2) + 6x + -2x = 0
x2 + 6x + -2x = 0

Reorder the terms:
6x + -2x + x2 = 0

Combine like terms: 6x + -2x = 4x
4x + x2 = 0

Solving
4x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + x) = 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0, -4}

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