4x^2-12x+x=0

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Solution for 4x^2-12x+x=0 equation: 


Simplifying
4x2 + -12x + x = 0

Reorder the terms:
-12x + x + 4x2 = 0

Combine like terms: -12x + x = -11x
-11x + 4x2 = 0

Solving
-11x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 4x) = 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 '(-11 + 4x)' equal to zero and attempt to solve:

Simplifying
-11 + 4x = 0

Solving
-11 + 4x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 4x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 0 + 11
4x = 0 + 11

Combine like terms: 0 + 11 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75
Solution
x = {0, 2.75}

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