6x^2-5x+-21x=0

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Solution for 6x^2-5x+-21x=0 equation: 


Simplifying
6x2 + -5x + -21x = 0

Reorder the terms:
-5x + -21x + 6x2 = 0

Combine like terms: -5x + -21x = -26x
-26x + 6x2 = 0

Solving
-26x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-13 + 3x) = 0

Ignore the factor 2.

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 '(-13 + 3x)' equal to zero and attempt to solve:

Simplifying
-13 + 3x = 0

Solving
-13 + 3x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 3x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 0 + 13
3x = 0 + 13

Combine like terms: 0 + 13 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333
Solution
x = {0, 4.333333333}

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