x^2-10.5x-5x=0

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Solution for x^2-10.5x-5x=0 equation: 


Simplifying
x2 + -10.5x + -5x = 0

Reorder the terms:
-10.5x + -5x + x2 = 0

Combine like terms: -10.5x + -5x = -15.5x
-15.5x + x2 = 0

Solving
-15.5x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15.5 + 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 '(-15.5 + x)' equal to zero and attempt to solve:

Simplifying
-15.5 + x = 0

Solving
-15.5 + x = 0

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

Add '15.5' to each side of the equation.
-15.5 + 15.5 + x = 0 + 15.5

Combine like terms: -15.5 + 15.5 = 0.0
0.0 + x = 0 + 15.5
x = 0 + 15.5

Combine like terms: 0 + 15.5 = 15.5
x = 15.5

Simplifying
x = 15.5
Solution
x = {0, 15.5}

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