x(x-4)-3x(1-12x)=

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Solution for x(x-4)-3x(1-12x)= equation: 


Simplifying
x(x + -4) + -3x(1 + -12x) = 0

Reorder the terms:
x(-4 + x) + -3x(1 + -12x) = 0
(-4 * x + x * x) + -3x(1 + -12x) = 0
(-4x + x2) + -3x(1 + -12x) = 0
-4x + x2 + (1 * -3x + -12x * -3x) = 0
-4x + x2 + (-3x + 36x2) = 0

Reorder the terms:
-4x + -3x + x2 + 36x2 = 0

Combine like terms: -4x + -3x = -7x
-7x + x2 + 36x2 = 0

Combine like terms: x2 + 36x2 = 37x2
-7x + 37x2 = 0

Solving
-7x + 37x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 37x) = 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 + 37x)' equal to zero and attempt to solve:

Simplifying
-7 + 37x = 0

Solving
-7 + 37x = 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 + 37x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 37x = 0 + 7
37x = 0 + 7

Combine like terms: 0 + 7 = 7
37x = 7

Divide each side by '37'.
x = 0.1891891892

Simplifying
x = 0.1891891892
Solution
x = {0, 0.1891891892}

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