x^2-8x^2-20x=0

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Solution for x^2-8x^2-20x=0 equation: 


Simplifying
x2 + -8x2 + -20x = 0

Reorder the terms:
-20x + x2 + -8x2 = 0

Combine like terms: x2 + -8x2 = -7x2
-20x + -7x2 = 0

Solving
-20x + -7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(20 + 7x) = 0

Ignore the factor -1.

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 '(20 + 7x)' equal to zero and attempt to solve:

Simplifying
20 + 7x = 0

Solving
20 + 7x = 0

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

Add '-20' to each side of the equation.
20 + -20 + 7x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 0 + -20
7x = 0 + -20

Combine like terms: 0 + -20 = -20
7x = -20

Divide each side by '7'.
x = -2.857142857

Simplifying
x = -2.857142857
Solution
x = {0, -2.857142857}

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