6x^2+21x+4x=0

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Solution for 6x^2+21x+4x=0 equation: 


Simplifying
6x2 + 21x + 4x = 0

Reorder the terms:
21x + 4x + 6x2 = 0

Combine like terms: 21x + 4x = 25x
25x + 6x2 = 0

Solving
25x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(25 + 6x) = 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 '(25 + 6x)' equal to zero and attempt to solve:

Simplifying
25 + 6x = 0

Solving
25 + 6x = 0

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

Add '-25' to each side of the equation.
25 + -25 + 6x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 6x = 0 + -25
6x = 0 + -25

Combine like terms: 0 + -25 = -25
6x = -25

Divide each side by '6'.
x = -4.166666667

Simplifying
x = -4.166666667
Solution
x = {0, -4.166666667}

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