x^2+2.5x=0

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Solution for x^2+2.5x=0 equation: 


Simplifying
x2 + 2.5x = 0

Reorder the terms:
2.5x + x2 = 0

Solving
2.5x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2.5 + 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 '(2.5 + x)' equal to zero and attempt to solve:

Simplifying
2.5 + x = 0

Solving
2.5 + x = 0

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 0 + -2.5
x = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
x = -2.5

Simplifying
x = -2.5
Solution
x = {0, -2.5}

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