4x(x-3)=11x

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Solution for 4x(x-3)=11x equation: 


Simplifying
4x(x + -3) = 11x

Reorder the terms:
4x(-3 + x) = 11x
(-3 * 4x + x * 4x) = 11x
(-12x + 4x2) = 11x

Solving
-12x + 4x2 = 11x

Solving for variable 'x'.

Reorder the terms:
-12x + -11x + 4x2 = 11x + -11x

Combine like terms: -12x + -11x = -23x
-23x + 4x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-23x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-23 + 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 '(-23 + 4x)' equal to zero and attempt to solve:

Simplifying
-23 + 4x = 0

Solving
-23 + 4x = 0

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

Add '23' to each side of the equation.
-23 + 23 + 4x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 4x = 0 + 23
4x = 0 + 23

Combine like terms: 0 + 23 = 23
4x = 23

Divide each side by '4'.
x = 5.75

Simplifying
x = 5.75
Solution
x = {0, 5.75}

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