9x^2+6x+x=0

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Solution for 9x^2+6x+x=0 equation: 


Simplifying
9x2 + 6x + x = 0

Reorder the terms:
6x + x + 9x2 = 0

Combine like terms: 6x + x = 7x
7x + 9x2 = 0

Solving
7x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 9x) = 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 '(7 + 9x)' equal to zero and attempt to solve:

Simplifying
7 + 9x = 0

Solving
7 + 9x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 9x = 0 + -7
9x = 0 + -7

Combine like terms: 0 + -7 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778
Solution
x = {0, -0.7777777778}

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