5X^2+3X-X=0

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Solution for 5X^2+3X-X=0 equation: 


Simplifying
5X2 + 3X + -1X = 0

Reorder the terms:
3X + -1X + 5X2 = 0

Combine like terms: 3X + -1X = 2X
2X + 5X2 = 0

Solving
2X + 5X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(2 + 5X) = 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 '(2 + 5X)' equal to zero and attempt to solve:

Simplifying
2 + 5X = 0

Solving
2 + 5X = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5X = 0 + -2
5X = 0 + -2

Combine like terms: 0 + -2 = -2
5X = -2

Divide each side by '5'.
X = -0.4

Simplifying
X = -0.4
Solution
X = {0, -0.4}

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